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102089322496 = 21275367181
BaseRepresentation
bin101111100010011111…
…1110111000000000000
3100202111210001220220101
41133010333313000000
53133034331304441
6114522120252144
710242603631510
oct1370477670000
9322453056811
10102089322496
113a328841007
1217951611054
13981c62c545
144d2672b840
1529c7893231
hex17c4ff7000

102089322496 has 104 divisors (see below), whose sum is σ = 237724313184. Its totient is φ = 42926407680.

The previous prime is 102089322473. The next prime is 102089322563. The reversal of 102089322496 is 694223980201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486026 + ... + 1553206.

Almost surely, 2102089322496 is an apocalyptic number.

102089322496 is a gapful number since it is divisible by the number (16) 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 102089322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118862156592).

102089322496 is an abundant number, since it is smaller than the sum of its proper divisors (135634990688).

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

102089322496 is an frugal number, since it uses more digits than its factorization.

102089322496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67265 (or 67243 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 102089322496 in words is "one hundred two billion, eighty-nine million, three hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1024 1484 1696 1792 2048 2968 3392 3584 4096 5936 6784 7168 11872 13568 14336 23744 27136 28672 47488 54272 67181 94976 108544 134362 189952 217088 268724 379904 470267 537448 759808 940534 1074896 1519616 1881068 2149792 3560593 3762136 4299584 7121186 7524272 8599168 14242372 15048544 17198336 24924151 28484744 30097088 34396672 49848302 56969488 60194176 68793344 99696604 113938976 120388352 137586688 199393208 227877952 240776704 275173376 398786416 455755904 481553408 797572832 911511808 963106816 1595145664 1823023616 1926213632 3190291328 3646047232 6380582656 7292094464 12761165312 14584188928 25522330624 51044661248 102089322496