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10329022464 = 21331572677
BaseRepresentation
bin10011001111010100…
…00110000000000000
3222122211212201002120
421213222012000000
5132123212204324
64424534444240
7513651146055
oct114752060000
928584781076
1010329022464
114420511502
122003203680
13c87c0a317
146ddb2d02c
15406c01179
hex267a86000

10329022464 has 112 divisors (see below), whose sum is σ = 27728161968. Its totient is φ = 3419799552.

The previous prime is 10329022433. The next prime is 10329022477. The reversal of 10329022464 is 46422092301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3857094 + ... + 3859770.

Almost surely, 210329022464 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 10329022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864080984).

10329022464 is an abundant number, since it is smaller than the sum of its proper divisors (17399139504).

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

10329022464 is an equidigital number, since it uses as much as digits as its factorization.

10329022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10329022464 in words is "ten billion, three hundred twenty-nine million, twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 942 1024 1256 1536 1884 2048 2512 2677 3072 3768 4096 5024 5354 6144 7536 8031 8192 10048 10708 12288 15072 16062 20096 21416 24576 30144 32124 40192 42832 60288 64248 80384 85664 120576 128496 160768 171328 241152 256992 321536 342656 420289 482304 513984 643072 685312 840578 964608 1027968 1260867 1286144 1370624 1681156 1929216 2055936 2521734 2741248 3362312 3858432 4111872 5043468 5482496 6724624 8223744 10086936 10964992 13449248 16447488 20173872 21929984 26898496 32894976 40347744 53796992 65789952 80695488 107593984 161390976 215187968 322781952 430375936 645563904 860751872 1291127808 1721503744 2582255616 3443007488 5164511232 10329022464