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104256308816 = 241117233148871
BaseRepresentation
bin110000100011000101…
…0010000011001010000
3100222002210122020021222
41201012022100121100
53202004103340231
6115521130304212
710350366001052
oct1410612203120
9328083566258
10104256308816
114023aa719a0
1218257288068
139aa657227a
1450904538d2
152aa2c3d27b
hex1846290650

104256308816 has 160 divisors (see below), whose sum is σ = 251325628416. Its totient is φ = 41285376000.

The previous prime is 104256308789. The next prime is 104256308843. The reversal of 104256308816 is 618803652401.

It is an interprime number because it is at equal distance from previous prime (104256308789) and next prime (104256308843).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 2108861 + ... + 2157731.

Almost surely, 2104256308816 is an apocalyptic number.

104256308816 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 104256308816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125662814208).

104256308816 is an abundant number, since it is smaller than the sum of its proper divisors (147069319600).

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

104256308816 is a wasteful number, since it uses less digits than its factorization.

104256308816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48961 (or 48955 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 104256308816 in words is "one hundred four billion, two hundred fifty-six million, three hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 23 31 34 44 46 62 68 88 92 124 136 176 184 187 248 253 272 341 368 374 391 496 506 527 682 713 748 782 1012 1054 1364 1426 1496 1564 2024 2108 2728 2852 2992 3128 4048 4216 4301 5456 5704 5797 6256 7843 8432 8602 11408 11594 12121 15686 17204 23188 24242 31372 34408 46376 48484 48871 62744 68816 92752 96968 97742 125488 133331 193936 195484 266662 390968 533324 537581 781936 830807 1066648 1075162 1124033 1515001 1661614 2133296 2150324 2248066 3030002 3323228 4300648 4496132 6060004 6646456 8601296 8992264 9138877 12120008 12364363 13292912 16665011 17984528 18277754 19108561 24240016 24728726 25755017 33330022 34845023 36555508 38217122 49457452 51510034 66660044 69690046 73111016 76434244 98914904 103020068 133320088 139380092 146222032 152868488 197829808 206040136 210194171 266640176 278760184 283305187 305736976 383295253 412080272 420388342 557520368 566610374 592365391 766590506 840776684 1133220748 1184730782 1533181012 1681553368 2266441496 2369461564 3066362024 3363106736 4532882992 4738923128 6132724048 6516019301 9477846256 13032038602 26064077204 52128154408 104256308816