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104152253504 = 26132318712909
BaseRepresentation
bin110000011111111110…
…1010100010001000000
3100221211112211200020112
41200333331110101000
53201300434103004
6115502532130452
710344663355565
oct1407775242100
9327745750215
10104152253504
1140197260672
1218228466a28
139a8ab3b990
1450806c886c
152a98a36e6e
hex183ff54440

104152253504 has 112 divisors (see below), whose sum is σ = 232456573440. Its totient is φ = 45939886080.

The previous prime is 104152253461. The next prime is 104152253651. The reversal of 104152253504 is 405352251401.

It is a super-2 number, since 2×1041522535042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35802002 + ... + 35804910.

It is an arithmetic number, because the mean of its divisors is an integer number (2075505120).

Almost surely, 2104152253504 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 104152253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116228286720).

104152253504 is an abundant number, since it is smaller than the sum of its proper divisors (128304319936).

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

104152253504 is a wasteful number, since it uses less digits than its factorization.

104152253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 104152253504 in words is "one hundred four billion, one hundred fifty-two million, two hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 1871 2392 2909 3742 4784 5818 7484 9568 11636 14968 19136 23272 24323 29936 37817 43033 46544 48646 59872 66907 75634 86066 93088 97292 119744 133814 151268 172132 186176 194584 267628 302536 344264 389168 535256 559429 605072 688528 778336 869791 1070512 1118858 1210144 1377056 1556672 1739582 2141024 2237716 2420288 2754112 3479164 4282048 4475432 5442739 6958328 8950864 10885478 13916656 17901728 21770956 27833312 35803456 43541912 55666624 70755607 87083824 125182997 141511214 174167648 250365994 283022428 348335296 500731988 566044856 1001463976 1132089712 1627378961 2002927952 2264179424 3254757922 4005855904 4528358848 6509515844 8011711808 13019031688 26038063376 52076126752 104152253504