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104547381696 = 2634131153949
BaseRepresentation
bin110000101011110000…
…0100111000111000000
3100222212002100021020000
41201113200213013000
53203103112203241
6120010045120000
710360532040042
oct1412740470700
9328762307200
10104547381696
114037a2a929a
1218318859000
139b21965944
1450bad81a92
152abd586eb6
hex18578271c0

104547381696 has 140 divisors (see below), whose sum is σ = 312278953800. Its totient is φ = 34582878720.

The previous prime is 104547381689. The next prime is 104547381769. The reversal of 104547381696 is 696183745401.

104547381696 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 473 + 8 + 169 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 602130 + ... + 756078.

Almost surely, 2104547381696 is an apocalyptic number.

104547381696 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 104547381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156139476900).

104547381696 is an abundant number, since it is smaller than the sum of its proper divisors (207731572104).

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

104547381696 is a wasteful number, since it uses less digits than its factorization.

104547381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154104 (or 154085 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 104547381696 in words is "one hundred four billion, five hundred forty-seven million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 131 144 162 192 216 262 288 324 393 432 524 576 648 786 864 1048 1179 1296 1572 1728 2096 2358 2592 3144 3537 4192 4716 5184 6288 7074 8384 9432 10611 12576 14148 18864 21222 25152 28296 37728 42444 56592 75456 84888 113184 153949 169776 226368 307898 339552 461847 615796 679104 923694 1231592 1385541 1847388 2463184 2771082 3694776 4156623 4926368 5542164 7389552 8313246 9852736 11084328 12469869 14779104 16626492 20167319 22168656 24939738 29558208 33252984 40334638 44337312 49879476 60501957 66505968 80669276 88674624 99758952 121003914 133011936 161338552 181505871 199517904 242007828 266023872 322677104 363011742 399035808 484015656 544517613 645354208 726023484 798071616 968031312 1089035226 1290708416 1452046968 1633552839 1936062624 2178070452 2904093936 3267105678 3872125248 4356140904 5808187872 6534211356 8712281808 11616375744 13068422712 17424563616 26136845424 34849127232 52273690848 104547381696