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2149272265608 = 2333135483139597
BaseRepresentation
bin11111010001101010100…
…111000010001110001000
321121110122110221121221000
4133101222213002032020
5240203202144444413
64323210111415000
7311164653553506
oct37215247021610
97543573847830
102149272265608
11759557187356
122a8662b24460
131278a2113760
147604d727676
153ad92c5c073
hex1f46a9c2388

2149272265608 has 128 divisors (see below), whose sum is σ = 6430665628800. Its totient is φ = 661189195008.

The previous prime is 2149272265603. The next prime is 2149272265633. The reversal of 2149272265608 is 8065622729412.

2149272265608 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 2 + 7 + 2 + 26 + 5 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2149272265603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15326466 + ... + 15466062.

It is an arithmetic number, because the mean of its divisors is an integer number (50239575225).

Almost surely, 22149272265608 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 2149272265608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215332814400).

2149272265608 is an abundant number, since it is smaller than the sum of its proper divisors (4281393363192).

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

2149272265608 is a wasteful number, since it uses less digits than its factorization.

2149272265608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145108 (or 145098 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2149272265608 in words is "two trillion, one hundred forty-nine billion, two hundred seventy-two million, two hundred sixty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 5483 10966 16449 21932 32898 43864 49347 65796 71279 98694 131592 139597 142558 148041 197388 213837 279194 285116 296082 394776 418791 427674 558388 570232 592164 641511 837582 855348 1116776 1184328 1256373 1283022 1675164 1710696 1814761 1924533 2512746 2566044 3350328 3629522 3769119 3849066 5025492 5132088 5444283 7259044 7538238 7698132 10050984 10888566 14518088 15076476 15396264 16332849 21777132 30152952 32665698 43554264 48998547 65331396 97997094 130662792 195994188 391988376 765410351 1530820702 2296231053 3061641404 4592462106 6123282808 6888693159 9184924212 9950334563 13777386318 18369848424 19900669126 20666079477 27554772636 29851003689 39801338252 41332158954 55109545272 59702007378 79602676504 82664317908 89553011067 119404014756 165328635816 179106022134 238808029512 268659033201 358212044268 537318066402 716424088536 1074636132804 2149272265608