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2138545956 = 2232915140697
BaseRepresentation
bin111111101110111…
…1001111100100100
312112001001101112210
41333131321330210
513334431432311
6552112243420
7103665224601
oct17735717444
95461041483
102138545956
119a8176258
124b8240570
13281095911
141640416a8
15c7b2d3a6
hex7f779f24

2138545956 has 48 divisors (see below), whose sum is σ = 5196320640. Its totient is φ = 683692800.

The previous prime is 2138545939. The next prime is 2138545963. The reversal of 2138545956 is 6595458312.

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, 32200 + ... + 72896.

It is an arithmetic number, because the mean of its divisors is an integer number (108256680).

Almost surely, 22138545956 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 2138545956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598160320).

2138545956 is an abundant number, since it is smaller than the sum of its proper divisors (3057774684).

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

2138545956 is a wasteful number, since it uses less digits than its factorization.

2138545956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40884 (or 40882 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 2138545956 is about 46244.4154033760. The cubic root of 2138545956 is about 1288.3668124711.

The spelling of 2138545956 in words is "two billion, one hundred thirty-eight million, five hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 151 174 302 348 453 604 906 1812 4379 8758 13137 17516 26274 40697 52548 81394 122091 162788 244182 488364 1180213 2360426 3540639 4720852 6145247 7081278 12290494 14162556 18435741 24580988 36871482 73742964 178212163 356424326 534636489 712848652 1069272978 2138545956