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2011216007232 = 263222769153353
BaseRepresentation
bin11101010001000101110…
…100001101000001000000
321010021022002202001102100
4131101011310031001000
5230422432244212412
64135535002550400
7265206543664425
oct35210564150100
97107262661370
102011216007232
11705a52005053
12285954208400
1311787015bc43
146d4b430bd4c
15374b29d8edc
hex1d445d0d040

2011216007232 has 84 divisors (see below), whose sum is σ = 5765078327580. Its totient is φ = 670371520512.

The previous prime is 2011216007179. The next prime is 2011216007249. The reversal of 2011216007232 is 2327006121102.

2011216007232 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 21 + 600 + 7 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 855728603136 + 1155487404096 = 925056^2 + 1074936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2011216007196 and 2011216007205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13038268 + ... + 13191620.

Almost surely, 22011216007232 is an apocalyptic number.

It is an amenable number.

2011216007232 is an abundant number, since it is smaller than the sum of its proper divisors (3753862320348).

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

2011216007232 is a wasteful number, since it uses less digits than its factorization.

2011216007232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176140 (or 176127 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2011216007232 in words is "two trillion, eleven billion, two hundred sixteen million, seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22769 45538 68307 91076 136614 153353 182152 204921 273228 306706 364304 409842 460059 546456 613412 728608 819684 920118 1092912 1226824 1380177 1457216 1639368 1840236 2185824 2453648 2760354 3278736 3680472 4371648 4907296 5520708 6557472 7360944 9814592 11041416 13114944 14721888 22082832 29443776 44165664 88331328 3491694457 6983388914 10475083371 13966777828 20950166742 27933555656 31425250113 41900333484 55867111312 62850500226 83800666968 111734222624 125701000452 167601333936 223468445248 251402000904 335202667872 502804001808 670405335744 1005608003616 2011216007232