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2138503464 = 233373135623
BaseRepresentation
bin111111101110110…
…1111100100101000
312112000222020021000
41333131233210220
513334424102324
6552111315000
7103664656656
oct17735574450
95460866230
102138503464
119a8147339
124b821ba60
1328107c486
1416402ddd6
15c7b209c9
hex7f76f928

2138503464 has 64 divisors (see below), whose sum is σ = 6021705600. Its totient is φ = 703064448.

The previous prime is 2138503459. The next prime is 2138503483. The reversal of 2138503464 is 4643058312.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 52044 + ... + 83579.

It is an arithmetic number, because the mean of its divisors is an integer number (94089150).

Almost surely, 22138503464 is an apocalyptic number.

2138503464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2138503464 is an abundant number, since it is smaller than the sum of its proper divisors (3883202136).

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

2138503464 is a wasteful number, since it uses less digits than its factorization.

2138503464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135711 (or 135701 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2138503464 is about 46243.9559726458. The cubic root of 2138503464 is about 1288.3582793141.

The spelling of 2138503464 in words is "two billion, one hundred thirty-eight million, five hundred three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 15768 135623 271246 406869 542492 813738 1084984 1220607 1627476 2441214 3254952 3661821 4882428 7323642 9764856 9900479 14647284 19800958 29294568 29701437 39601916 59402874 79203832 89104311 118805748 178208622 237611496 267312933 356417244 534625866 712834488 1069251732 2138503464