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104032313504 = 257432251179
BaseRepresentation
bin110000011100011001…
…1110010000010100000
3100221112012011002111022
41200320303302002200
53201024233013004
6115443005305012
710342006034360
oct1407063620240
9327465132438
10104032313504
114013558a9a9
12181b4265168
139a6c036172
14506c7c69a0
152a8d2442be
hex1838cf20a0

104032313504 has 72 divisors (see below), whose sum is σ = 239643804960. Its totient is φ = 43548236928.

The previous prime is 104032313471. The next prime is 104032313519. The reversal of 104032313504 is 405313230401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288587 + ... + 539765.

It is an arithmetic number, because the mean of its divisors is an integer number (3328386180).

Almost surely, 2104032313504 is an apocalyptic number.

104032313504 is a gapful number since it is divisible by the number (14) 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 104032313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119821902480).

104032313504 is an abundant number, since it is smaller than the sum of its proper divisors (135611491456).

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

104032313504 is an equidigital number, since it uses as much as digits as its factorization.

104032313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251282 (or 251231 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 104032313504 its reverse (405313230401), we get a palindrome (509345543905).

The spelling of 104032313504 in words is "one hundred four billion, thirty-two million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 1849 2408 3698 4816 7396 9632 12943 14792 25886 29584 51772 59168 103544 207088 251179 414176 502358 1004716 1758253 2009432 3516506 4018864 7033012 8037728 10800697 14066024 21601394 28132048 43202788 56264096 75604879 86405576 151209758 172811152 302419516 345622304 464429971 604839032 928859942 1209678064 1857719884 2419356128 3251009797 3715439768 6502019594 7430879536 13004039188 14861759072 26008078376 52016156752 104032313504