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46680747246 = 232719139140281
BaseRepresentation
bin101011011110011000…
…111010110011101110
311110111021001122211200
4223132120322303232
51231100232402441
633240030230330
73241535543010
oct533630726356
9143437048750
1046680747246
1118885079361
1290693553a6
13452c1a9443
14238b9821b0
15133328c7b6
hexade63acee

46680747246 has 96 divisors (see below), whose sum is σ = 122550355200. Its totient is φ = 12544398720.

The previous prime is 46680747233. The next prime is 46680747247. The reversal of 46680747246 is 64274708664.

46680747246 is a `hidden beast` number, since 466 + 8 + 0 + 74 + 72 + 46 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46680747192 and 46680747201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46680747247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262626 + ... + 402906.

It is an arithmetic number, because the mean of its divisors is an integer number (1276566200).

Almost surely, 246680747246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46680747246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61275177600).

46680747246 is an abundant number, since it is smaller than the sum of its proper divisors (75869607954).

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

46680747246 is a wasteful number, since it uses less digits than its factorization.

46680747246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140454 (or 140451 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 46680747246 in words is "forty-six billion, six hundred eighty million, seven hundred forty-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 139 171 266 278 342 399 417 798 834 973 1197 1251 1946 2394 2502 2641 2919 5282 5838 7923 8757 15846 17514 18487 23769 36974 47538 55461 110922 140281 166383 280562 332766 420843 841686 981967 1262529 1963934 2525058 2665339 2945901 5330678 5891802 7996017 8837703 15992034 17675406 18657373 19499059 23988051 37314746 38998118 47976102 55972119 58497177 111944238 116994354 136493413 167916357 175491531 272986826 335832714 350983062 370482121 409480239 740964242 818960478 1111446363 1228440717 2222892726 2456881434 2593374847 3334339089 5186749694 6668678178 7780124541 15560249082 23340373623 46680747246