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42421853754 = 232717101196087
BaseRepresentation
bin100111100000100010…
…100001111000111010
311001111110012110021200
4213200202201320322
51143334443310004
631253251315030
73031152543630
oct474042417072
9131443173250
1042421853754
1116a9a037675
12827ababa76
134000a50317
1420a60b9350
151184428239
hex9e08a1e3a

42421853754 has 96 divisors (see below), whose sum is σ = 112325481216. Its totient is φ = 11294553600.

The previous prime is 42421853741. The next prime is 42421853767. The reversal of 42421853754 is 45735812424.

42421853754 is a `hidden beast` number, since 42 + 4 + 21 + 8 + 537 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (42421853741) and next prime (42421853767).

It is a super-2 number, since 2×424218537542 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118299 + ... + 314385.

It is an arithmetic number, because the mean of its divisors is an integer number (1170057096).

Almost surely, 242421853754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42421853754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56162740608).

42421853754 is an abundant number, since it is smaller than the sum of its proper divisors (69903627462).

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

42421853754 is a wasteful number, since it uses less digits than its factorization.

42421853754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196220 (or 196217 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 42421853754 in words is "forty-two billion, four hundred twenty-one million, eight hundred fifty-three thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 101 102 119 126 153 202 238 303 306 357 606 707 714 909 1071 1414 1717 1818 2121 2142 3434 4242 5151 6363 10302 12019 12726 15453 24038 30906 36057 72114 108171 196087 216342 392174 588261 1176522 1372609 1764783 2745218 3333479 3529566 4117827 6666958 8235654 10000437 12353481 19804787 20000874 23334353 24706962 30001311 39609574 46668706 59414361 60002622 70003059 118828722 138633509 140006118 178243083 210009177 277267018 336681379 356486166 415900527 420018354 673362758 831801054 1010044137 1247701581 2020088274 2356769653 2495403162 3030132411 4713539306 6060264822 7070308959 14140617918 21210926877 42421853754