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31022094768 = 24371717930341
BaseRepresentation
bin11100111001000011…
…111001100110110000
32222001222112200210220
4130321003321212300
51002013124013033
622130143053040
72145520311660
oct347103714660
988058480726
1031022094768
111217a188a55
1260192a1180
132c05069cc2
1417040a81a0
15c18721bb3
hex7390f99b0

31022094768 has 160 divisors (see below), whose sum is σ = 97521615360. Its totient is φ = 8295198720.

The previous prime is 31022094749. The next prime is 31022094781. The reversal of 31022094768 is 86749022013.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007278 + ... + 1037618.

It is an arithmetic number, because the mean of its divisors is an integer number (609510096).

Almost surely, 231022094768 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 31022094768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48760807680).

31022094768 is an abundant number, since it is smaller than the sum of its proper divisors (66499520592).

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

31022094768 is a wasteful number, since it uses less digits than its factorization.

31022094768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30555 (or 30549 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 31022094768 in words is "thirty-one billion, twenty-two million, ninety-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 179 204 238 272 336 357 358 408 476 537 714 716 816 952 1074 1253 1428 1432 1904 2148 2506 2856 2864 3043 3759 4296 5012 5712 6086 7518 8592 9129 10024 12172 15036 18258 20048 21301 24344 30072 30341 36516 42602 48688 60144 60682 63903 73032 85204 91023 121364 127806 146064 170408 182046 212387 242728 255612 340816 364092 424774 485456 511224 515797 637161 728184 849548 1022448 1031594 1274322 1456368 1547391 1699096 2063188 2548644 3094782 3398192 3610579 4126376 5097288 5431039 6189564 7221158 8252752 10194576 10831737 10862078 12379128 14442316 16293117 21663474 21724156 24758256 28884632 32586234 38017273 43326948 43448312 57769264 65172468 76034546 86653896 86896624 92327663 114051819 130344936 152069092 173307792 184655326 228103638 260689872 276982989 304138184 369310652 456207276 553965978 608276368 646293641 738621304 912414552 1107931956 1292587282 1477242608 1824829104 1938880923 2215863912 2585174564 3877761846 4431727824 5170349128 7755523692 10340698256 15511047384 31022094768