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472617716274 = 2331119238317573
BaseRepresentation
bin1101110000010100011…
…01100000101000110010
31200011220112121120112000
412320022031200220302
530220410113410044
61001041221514430
746100623206354
oct6701215405062
91604815546460
10472617716274
1117248841a450
127771a872a16
133574c1bc722
1418c3670d0d4
15c461c38d69
hex6e0a360a32

472617716274 has 128 divisors (see below), whose sum is σ = 1206616780800. Its totient is φ = 135615072960.

The previous prime is 472617716237. The next prime is 472617716281.

It is a happy number.

472617716274 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 1 + 7 + 7 + 1 + 627 + 4 = 666.

472617716274 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 472617716274.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26885752 + ... + 26903324.

It is an arithmetic number, because the mean of its divisors is an integer number (9426693600).

Almost surely, 2472617716274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472617716274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603308390400).

472617716274 is an abundant number, since it is smaller than the sum of its proper divisors (733999064526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472617716274 is a wasteful number, since it uses less digits than its factorization.

472617716274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19997 (or 19991 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 472617716274 in words is "four hundred seventy-two billion, six hundred seventeen million, seven hundred sixteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 2383 3762 4766 5643 7149 11286 14298 17573 21447 26213 35146 42894 45277 52426 52719 64341 78639 90554 105438 128682 135831 157278 158157 193303 235917 271662 316314 333887 386606 407493 471834 474471 498047 579909 667774 707751 814986 948942 996094 1001661 1159818 1222479 1415502 1494141 1739727 2003322 2444958 2988282 3004983 3479454 3672757 4482423 5219181 6009966 7345514 8964846 9014949 10438362 11018271 13447269 18029898 22036542 26894538 33054813 41876459 66109626 83752918 99164439 125629377 198328878 251258754 376888131 460641049 753776262 795652721 921282098 1130664393 1381923147 1591305442 2261328786 2386958163 2763846294 4145769441 4773916326 7160874489 8291538882 8752179931 12437308323 14321748978 17504359862 21482623467 24874616646 26256539793 42965246934 52513079586 78769619379 157539238758 236308858137 472617716274