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2053617972024 = 2332391499238841
BaseRepresentation
bin11101111000100101001…
…010110111001100111000
321021022202011112001011210
4131320211022313030320
5232121302200101044
64211230304123120
7301240365514143
oct35704512671470
97238664461153
102053617972024
11721a30897863
122920086064a0
1311b869a37538
14715778cb05a
15386452d41b9
hex1de252b7338

2053617972024 has 64 divisors (see below), whose sum is σ = 5158987200000. Its totient is φ = 681217537280.

The previous prime is 2053617972017. The next prime is 2053617972053. The reversal of 2053617972024 is 4202797163502.

It is a Cunningham number, because it is equal to 14330452-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8478844 + ... + 8717684.

It is an arithmetic number, because the mean of its divisors is an integer number (80609175000).

Almost surely, 22053617972024 is an apocalyptic number.

2053617972024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2053617972024 is an abundant number, since it is smaller than the sum of its proper divisors (3105369227976).

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

2053617972024 is a wasteful number, since it uses less digits than its factorization.

2053617972024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240588 (or 240584 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 2053617972024 in words is "two trillion, fifty-three billion, six hundred seventeen million, nine hundred seventy-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 239 478 717 956 1434 1499 1912 2868 2998 4497 5736 5996 8994 11992 17988 35976 238841 358261 477682 716522 716523 955364 1074783 1433044 1433046 1910728 2149566 2866088 2866092 4299132 5732184 8598264 57082999 114165998 171248997 228331996 342497994 358022659 456663992 684995988 716045318 1074067977 1369991976 1432090636 2148135954 2864181272 4296271908 8592543816 85567415501 171134831002 256702246503 342269662004 513404493006 684539324008 1026808986012 2053617972024