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2059462912 = 28131374517
BaseRepresentation
bin111101011000000…
…1110100100000000
312022112020120000011
41322300032210000
513204210303122
6540205234304
7102015101023
oct17260164400
95275216004
102059462912
11967570a71
12495862994
1326a896a10
141577371ba
15c0c0b377
hex7ac0e900

2059462912 has 72 divisors (see below), whose sum is σ = 4460404536. Its totient is φ = 943374336.

The previous prime is 2059462903. The next prime is 2059462939. The reversal of 2059462912 is 2192649502.

It can be written as a sum of positive squares in 4 ways, for example, as 29419776 + 2030043136 = 5424^2 + 45056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453678 + ... + 458194.

It is an arithmetic number, because the mean of its divisors is an integer number (61950063).

Almost surely, 22059462912 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 2059462912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230202268).

2059462912 is an abundant number, since it is smaller than the sum of its proper divisors (2400941624).

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

2059462912 is a wasteful number, since it uses less digits than its factorization.

2059462912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 2059462912 is about 45381.3057546827. The cubic root of 2059462912 is about 1272.2857367394.

The spelling of 2059462912 in words is "two billion, fifty-nine million, four hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 137 208 256 274 416 548 832 1096 1664 1781 2192 3328 3562 4384 4517 7124 8768 9034 14248 17536 18068 28496 35072 36136 56992 58721 72272 113984 117442 144544 227968 234884 289088 455936 469768 578176 618829 939536 1156352 1237658 1879072 2475316 3758144 4950632 7516288 8044777 9901264 15032576 16089554 19802528 32179108 39605056 64358216 79210112 128716432 158420224 257432864 514865728 1029731456 2059462912