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70100241216 = 2633136771723
BaseRepresentation
bin100000101001001001…
…1001100101101000000
320200221101222012222020
41001102103030231000
52122031130204331
652111551241440
75031102135045
oct1012223145500
9220841865866
1070100241216
1127802838855
1211704519280
1367c2143b95
14357006b1cc
151c54311c96
hex10524ccb40

70100241216 has 112 divisors (see below), whose sum is σ = 186449110464. Its totient is φ = 23244189696.

The previous prime is 70100241209. The next prime is 70100241227. The reversal of 70100241216 is 61214200107.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40684131 + ... + 40685853.

Almost surely, 270100241216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70100241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93224555232).

70100241216 is an abundant number, since it is smaller than the sum of its proper divisors (116348869248).

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

70100241216 is a wasteful number, since it uses less digits than its factorization.

70100241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 70100241216 in words is "seventy billion, one hundred million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 626 677 939 1252 1354 1723 1878 2031 2504 2708 3446 3756 4062 5008 5169 5416 6892 7512 8124 10016 10338 10832 13784 15024 16248 20032 20676 21664 27568 30048 32496 41352 43328 55136 60096 64992 82704 110272 129984 165408 211901 330816 423802 539299 635703 847604 1078598 1166471 1271406 1617897 1695208 2157196 2332942 2542812 3235794 3390416 3499413 4314392 4665884 5085624 6471588 6780832 6998826 8628784 9331768 10171248 12943176 13561664 13997652 17257568 18663536 20342496 25886352 27995304 34515136 37327072 40684992 51772704 55990608 74654144 103545408 111981216 223962432 365105423 730210846 1095316269 1460421692 2190632538 2920843384 4381265076 5841686768 8762530152 11683373536 17525060304 23366747072 35050120608 70100241216