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102620278336 = 2623217412
BaseRepresentation
bin101111110010010100…
…1010010111001000000
3100210212210011021101111
41133210221102321000
53140131242401321
6115050524413104
710262011654642
oct1374451227100
9323783137344
10102620278336
113a580520a94
1217a7b3a7194
1398a56326b4
144d77060892
152a092c35e1
hex17e4a52e40

102620278336 has 63 divisors (see below), whose sum is σ = 212998192113. Its totient is φ = 49051073280.

The previous prime is 102620278291. The next prime is 102620278357. The reversal of 102620278336 is 633872026201.

The square root of 102620278336 is 320344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 117852736 + 102502425600 = 10856^2 + 320160^2 .

It is a super-2 number, since 2×1026202783362 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58942426 + ... + 58944166.

Almost surely, 2102620278336 is an apocalyptic number.

102620278336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102620278336 is the 320344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102620278336

102620278336 is an abundant number, since it is smaller than the sum of its proper divisors (110377913777).

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

102620278336 is an frugal number, since it uses more digits than its factorization.

102620278336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 102620278336 in words is "one hundred two billion, six hundred twenty million, two hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 1741 2116 3482 4232 6964 8464 13928 16928 27856 33856 40043 55712 80086 111424 160172 320344 640688 920989 1281376 1841978 2562752 3031081 3683956 6062162 7367912 12124324 14735824 24248648 29471648 48497296 58943296 69714863 96994592 139429726 193989184 278859452 557718904 1115437808 1603441849 2230875616 3206883698 4461751232 6413767396 12827534792 25655069584 51310139168 102620278336