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104255642829708 = 223315728372167289
BaseRepresentation
bin10111101101000111101000…
…100011101000001110001100
3111200010202001000002112111000
4113231013220203220032030
5102131111024031022313
61005422214153500300
730650136006303606
oct2755075043501614
9450122030075430
10104255642829708
113024562a490517
12b839537a11690
13462335a0a2546
141ba600015a176
15c0bdddb78673
hex5ed1e88e838c

104255642829708 has 96 divisors (see below), whose sum is σ = 272110021444800. Its totient is φ = 34518343961088.

The previous prime is 104255642829617. The next prime is 104255642829803. The reversal of 104255642829708 is 807928246552401.

104255642829708 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 556 + 4 + 2 + 8 + 2 + 9 + 70 + 8 = 666.

It is a super-2 number, since 2×1042556428297082 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47020528 + ... + 49187816.

It is an arithmetic number, because the mean of its divisors is an integer number (2834479390050).

Almost surely, 2104255642829708 is an apocalyptic number.

104255642829708 is a gapful number since it is divisible by the number (18) 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 104255642829708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136055010722400).

104255642829708 is an abundant number, since it is smaller than the sum of its proper divisors (167854378615092).

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

104255642829708 is a wasteful number, since it uses less digits than its factorization.

104255642829708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170296 (or 2170288 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 104255642829708 in words is "one hundred four trillion, two hundred fifty-five billion, six hundred forty-two million, eight hundred twenty-nine thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 2837 4239 5652 5674 8478 8511 11348 16956 17022 25533 34044 51066 76599 102132 153198 306396 445409 890818 1336227 1781636 2167289 2672454 4008681 4334578 5344908 6501867 8017362 8669156 12026043 13003734 16034724 19505601 24052086 26007468 39011202 48104172 58516803 78022404 117033606 234067212 340264373 680528746 1020793119 1361057492 2041586238 3062379357 4083172476 6124758714 6148598893 9187138071 12249517428 12297197786 18374276142 18445796679 24594395572 36748552284 36891593358 55337390037 73783186716 110674780074 166012170111 221349560148 332024340222 664048680444 965330026201 1930660052402 2895990078603 3861320104804 5791980157206 8687970235809 11583960314412 17375940471618 26063910707427 34751880943236 52127821414854 104255642829708