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104301367056 = 24322926992849
BaseRepresentation
bin110000100100011011…
…0001000111100010000
3100222012221102102120200
41201020312020330100
53202102122221211
6115525420135200
710351453664145
oct1411066107420
9328187372520
10104301367056
1140263447907
121826a397500
139ab29ba253
1450964223cc
152aa6b8db56
hex1848d88f10

104301367056 has 120 divisors (see below), whose sum is σ = 303090255000. Its totient is φ = 33443106816.

The previous prime is 104301366991. The next prime is 104301367057. The reversal of 104301367056 is 650763103401.

It can be written as a sum of positive squares in 4 ways, for example, as 155750400 + 104145616656 = 12480^2 + 322716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104301367056.

It is not an unprimeable number, because it can be changed into a prime (104301367057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076920 + ... + 1169768.

It is an arithmetic number, because the mean of its divisors is an integer number (2525752125).

Almost surely, 2104301367056 is an apocalyptic number.

104301367056 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 104301367056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151545127500).

104301367056 is an abundant number, since it is smaller than the sum of its proper divisors (198788887944).

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

104301367056 is a wasteful number, since it uses less digits than its factorization.

104301367056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93161 (or 93152 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 104301367056 in words is "one hundred four billion, three hundred one million, three hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 269 348 464 522 538 696 807 1044 1076 1392 1614 2088 2152 2421 3228 4176 4304 4842 6456 7801 9684 12912 15602 19368 23403 31204 38736 46806 62408 70209 92849 93612 124816 140418 185698 187224 278547 280836 371396 374448 557094 561672 742792 835641 1114188 1123344 1485584 1671282 2228376 2692621 3342564 4456752 5385242 6685128 8077863 10770484 13370256 16155726 21540968 24233589 24976381 32311452 43081936 48467178 49952762 64622904 74929143 96934356 99905524 129245808 149858286 193868712 199811048 224787429 299716572 387737424 399622096 449574858 599433144 724315049 899149716 1198866288 1448630098 1798299432 2172945147 2897260196 3596598864 4345890294 5794520392 6518835441 8691780588 11589040784 13037670882 17383561176 26075341764 34767122352 52150683528 104301367056