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104440246464 = 2635312378297
BaseRepresentation
bin110000101000100011…
…1111011000011000000
3100222120121202020022110
41201101013323003000
53202343200341324
6115551300535320
710355061306321
oct1412107730300
9328517666273
10104440246464
1140324883a84
12182a89b1540
139b056c4508
1450aaa54448
152ab3e73329
hex18511fb0c0

104440246464 has 112 divisors (see below), whose sum is σ = 281806851168. Its totient is φ = 34124832768.

The previous prime is 104440246457. The next prime is 104440246489. The reversal of 104440246464 is 464642044401.

It is a super-2 number, since 2×1044402464642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12583564 + ... + 12591860.

Almost surely, 2104440246464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104440246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140903425584).

104440246464 is an abundant number, since it is smaller than the sum of its proper divisors (177366604704).

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

104440246464 is a wasteful number, since it uses less digits than its factorization.

104440246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

The spelling of 104440246464 in words is "one hundred four billion, four hundred forty million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1237 1272 1696 2474 2544 3392 3711 4948 5088 7422 8297 9896 10176 14844 16594 19792 24891 29688 33188 39584 49782 59376 65561 66376 79168 99564 118752 131122 132752 196683 199128 237504 262244 265504 393366 398256 439741 524488 531008 786732 796512 879482 1048976 1319223 1573464 1593024 1758964 2097952 2638446 3146928 3517928 4195904 5276892 6293856 7035856 10263389 10553784 12587712 14071712 20526778 21107568 28143424 30790167 41053556 42215136 61580334 82107112 84430272 123160668 164214224 246321336 328428448 492642672 543959617 656856896 985285344 1087919234 1631878851 1970570688 2175838468 3263757702 4351676936 6527515404 8703353872 13055030808 17406707744 26110061616 34813415488 52220123232 104440246464