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1306065465152 = 26721230133857
BaseRepresentation
bin10011000000010111100…
…100010110111101000000
311121212011221121000012122
4103000113210112331000
5132344310224341102
62435555335343412
7163234343165300
oct23002744267500
94555157530178
101306065465152
114639989a6a08
1219115a821b68
1396213904886
14472dcd59600
1523e916900a2
hex13017916f40

1306065465152 has 84 divisors (see below), whose sum is σ = 3015196358724. Its totient is φ = 559680307200.

The previous prime is 1306065465143. The next prime is 1306065465181. The reversal of 1306065465152 is 2515645606031.

It can be written as a sum of positive squares in 2 ways, for example, as 1034891151616 + 271174313536 = 1017296^2 + 520744^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38559008 + ... + 38592864.

Almost surely, 21306065465152 is an apocalyptic number.

It is an amenable number.

1306065465152 is an abundant number, since it is smaller than the sum of its proper divisors (1709130893572).

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

1306065465152 is a wasteful number, since it uses less digits than its factorization.

1306065465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46184 (or 46167 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 1306065465152 in words is "one trillion, three hundred six billion, sixty-five million, four hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 12301 24602 33857 49204 67714 86107 98408 135428 172214 196816 236999 270856 344428 393632 473998 541712 602749 688856 787264 947996 1083424 1205498 1377712 1658993 1895992 2166848 2410996 2755424 3317986 3791984 4821992 5510848 6635972 7583968 9643984 13271944 15167936 19287968 26543888 38575936 53087776 106175552 416474957 832949914 1665899828 2915324699 3331799656 5830649398 6663599312 11661298796 13327198624 20407272893 23322597592 26654397248 40814545786 46645195184 81629091572 93290390368 163258183144 186580780736 326516366288 653032732576 1306065465152