Search a number
-
+
492300963837088 = 25759182532040781
BaseRepresentation
bin110111111101111101100000…
…0000100100111010010100000
32101120002111211121202021020021
41233323323000010213102200
51004011324333220241323
64503011535101123224
7205460366550354460
oct15773730004472240
92346074747667207
10492300963837088
1113295373690aa0a
124726b284859514
1318190a214b6443
14897d6cad35ba0
153bdad27a8305d
hex1bfbec01274a0

492300963837088 has 96 divisors (see below), whose sum is σ = 1126513623150720. Its totient is φ = 207398626606080.

The previous prime is 492300963837077. The next prime is 492300963837101. The reversal of 492300963837088 is 880738369003294.

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, 240211258 + ... + 242252038.

It is an arithmetic number, because the mean of its divisors is an integer number (11734516907820).

Almost surely, 2492300963837088 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 492300963837088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563256811575360).

492300963837088 is an abundant number, since it is smaller than the sum of its proper divisors (634212659313632).

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

492300963837088 is a wasteful number, since it uses less digits than its factorization.

492300963837088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059110 (or 2059102 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 70.

The spelling of 492300963837088 in words is "four hundred ninety-two trillion, three hundred billion, nine hundred sixty-three million, eight hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 13216 18253 36506 73012 127771 146024 255542 292048 511084 584096 1022168 1076927 2040781 2044336 2153854 4081562 4088672 4307708 7538489 8163124 8615416 14285467 15076978 16326248 17230832 28570934 30153956 32652496 34461664 57141868 60307912 65304992 114283736 120406079 120615824 228567472 240812158 241231648 457134944 481624316 842842553 963248632 1685685106 1926497264 3371370212 3852994528 6742740424 13485480848 26970961696 37250375593 74500751186 149001502372 260752629151 298003004744 521505258302 596006009488 1043010516604 1192012018976 2086021033208 2197772159987 4172042066416 4395544319974 8344084132832 8791088639948 15384405119909 17582177279896 30768810239818 35164354559792 61537620479636 70328709119584 123075240959272 246150481918544 492300963837088