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2928117335024 = 247313722793291
BaseRepresentation
bin101010100111000001011…
…001001100001111110000
3101100220222112100112202002
4222213001121030033300
5340433241014210044
610121054124313132
7421356322454210
oct52470131141760
911326875315662
102928117335024
11a29897999642
123b35a46a27a8
1318317434110b
14a1a1624a240
1551278beb74e
hex2a9c164c3f0

2928117335024 has 80 divisors (see below), whose sum is σ = 6873727481856. Its totient is φ = 1181604153600.

The previous prime is 2928117334999. The next prime is 2928117335029. The reversal of 2928117335024 is 4205337118292.

It is a super-2 number, since 2×29281173350242 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2928117335024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928117335029) 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 15 ways as a sum of consecutive naturals, for example, 11268182 + ... + 11525109.

Almost surely, 22928117335024 is an apocalyptic number.

It is an amenable number.

2928117335024 is an abundant number, since it is smaller than the sum of its proper divisors (3945610146832).

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

2928117335024 is a wasteful number, since it uses less digits than its factorization.

2928117335024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22793374 (or 22793368 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 2928117335024 in words is "two trillion, nine hundred twenty-eight billion, one hundred seventeen million, three hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 37 56 62 74 112 124 148 217 248 259 296 434 496 518 592 868 1036 1147 1736 2072 2294 3472 4144 4588 8029 9176 16058 18352 32116 64232 128464 22793291 45586582 91173164 159553037 182346328 319106074 364692656 638212148 706592021 843351767 1276424296 1413184042 1686703534 2552848592 2826368084 3373407068 4946144147 5652736168 5903462369 6746814136 9892288294 11305472336 11806924738 13493628272 19784576588 23613849476 26143904777 39569153176 47227698952 52287809554 79138306352 94455397904 104575619108 183007333439 209151238216 366014666878 418302476432 732029333756 1464058667512 2928117335024