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104215744400 = 2452534915837
BaseRepresentation
bin110000100001110111…
…1100000111110010000
3100221222222022100101012
41201003233200332100
53201413212310100
6115513121030052
710346364132335
oct1410357407620
9327888270335
10104215744400
114021a086289
1218245785328
139a9b03b861
145088cd498c
152a9e3c9135
hex1843be0f90

104215744400 has 60 divisors (see below), whose sum is σ = 255102497172. Its totient is φ = 40899755520.

The previous prime is 104215744397. The next prime is 104215744483. The reversal of 104215744400 is 4447512401.

It can be written as a sum of positive squares in 6 ways, for example, as 11468696464 + 92747047936 = 107092^2 + 304544^2 .

It is a super-2 number, since 2×1042157444002 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2436719 + ... + 2479118.

Almost surely, 2104215744400 is an apocalyptic number.

104215744400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104215744400 is an abundant number, since it is smaller than the sum of its proper divisors (150886752772).

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

104215744400 is a wasteful number, since it uses less digits than its factorization.

104215744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915908 (or 4915897 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The spelling of 104215744400 in words is "one hundred four billion, two hundred fifteen million, seven hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 4915837 9831674 19663348 24579185 39326696 49158370 78653392 98316740 122895925 196633480 245791850 260539361 393266960 491583700 521078722 983167400 1042157444 1302696805 1966334800 2084314888 2605393610 4168629776 5210787220 6513484025 10421574440 13026968050 20843148880 26053936100 52107872200 104215744400