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2131923456 = 29331311863
BaseRepresentation
bin111111100010010…
…1001001000000000
312111120120221012000
41333010221020000
513331233022311
6551314304000
7103555023165
oct17704511000
95446527160
102131923456
119a4462713
124b5b88000
1327c8b7490
141631da06c
15c7271056
hex7f129200

2131923456 has 160 divisors (see below), whose sum is σ = 6796648320. Its totient is φ = 655921152.

The previous prime is 2131923433. The next prime is 2131923491. The reversal of 2131923456 is 6543291312.

2131923456 is a `hidden beast` number, since 2 + 13 + 192 + 3 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2131923456.

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, 173781 + ... + 185643.

It is an arithmetic number, because the mean of its divisors is an integer number (42479052).

Almost surely, 22131923456 is an apocalyptic number.

2131923456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398324160).

2131923456 is an abundant number, since it is smaller than the sum of its proper divisors (4664724864).

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

2131923456 is a wasteful number, since it uses less digits than its factorization.

2131923456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11903 (or 11881 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2131923456 is about 46172.7566428516. The cubic root of 2131923456 is about 1287.0355291456.

The spelling of 2131923456 in words is "two billion, one hundred thirty-one million, nine hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7488 9984 11232 11863 13824 14976 19968 22464 23726 29952 35589 44928 47452 59904 71178 89856 94904 106767 142356 154219 179712 189808 213534 284712 308438 320301 379616 427068 462657 569424 616876 640602 759232 854136 925314 1138848 1233752 1281204 1387971 1518464 1708272 1850628 2277696 2467504 2562408 2775942 3036928 3416544 3701256 4163913 4555392 4935008 5124816 5551884 6073856 6833088 7402512 8327826 9110784 9870016 10249632 11103768 13666176 14805024 16655652 18221568 19740032 20499264 22207536 27332352 29610048 33311304 39480064 40998528 44415072 54664704 59220096 66622608 78960128 81997056 88830144 118440192 133245216 163994112 177660288 236880384 266490432 355320576 532980864 710641152 1065961728 2131923456