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2126495904 = 253132131071
BaseRepresentation
bin111111010111111…
…1100000010100000
312111012101011222120
41332233330002200
513323340332104
6551002104240
7103460626341
oct17657740240
95435334876
102126495904
119a1395935
124b41ab080
1327b736c00
141625c60c8
15c6a4ccd9
hex7ebfc0a0

2126495904 has 72 divisors (see below), whose sum is σ = 6044516352. Its totient is φ = 654301440.

The previous prime is 2126495869. The next prime is 2126495911. The reversal of 2126495904 is 4095946212.

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, 49312 + ... + 81759.

It is an arithmetic number, because the mean of its divisors is an integer number (83951616).

Almost surely, 22126495904 is an apocalyptic number.

2126495904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2126495904 is an abundant number, since it is smaller than the sum of its proper divisors (3918020448).

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

2126495904 is a wasteful number, since it uses less digits than its factorization.

2126495904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131110 (or 131089 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2126495904 is about 46113.9447889681. The cubic root of 2126495904 is about 1285.9424022474.

The spelling of 2126495904 in words is "two billion, one hundred twenty-six million, four hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 131071 262142 393213 524284 786426 1048568 1572852 1703923 2097136 3145704 3407846 4194272 5111769 6291408 6815692 10223538 12582816 13631384 20447076 22150999 27262768 40894152 44301998 54525536 66452997 81788304 88603996 132905994 163576608 177207992 265811988 354415984 531623976 708831968 1063247952 2126495904