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10478427408 = 243347516077
BaseRepresentation
bin10011100001001000…
…00001110100010000
31000001021000021011000
421300210001310100
5132424434134113
64451433022000
7520444110021
oct116044016420
930037007130
1010478427408
114497887669
122045254900
13cacb5b407
14715900c48
15414db4373
hex270901d10

10478427408 has 80 divisors (see below), whose sum is σ = 30716962560. Its totient is φ = 3418487424.

The previous prime is 10478427391. The next prime is 10478427419. The reversal of 10478427408 is 80472487401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237735 + ... + 278342.

It is an arithmetic number, because the mean of its divisors is an integer number (383962032).

Almost surely, 210478427408 is an apocalyptic number.

10478427408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10478427408 is an abundant number, since it is smaller than the sum of its proper divisors (20238535152).

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

10478427408 is a wasteful number, since it uses less digits than its factorization.

10478427408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516141 (or 516129 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 10478427408 in words is "ten billion, four hundred seventy-eight million, four hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 20304 516077 1032154 1548231 2064308 3096462 4128616 4644693 6192924 8257232 9289386 12385848 13934079 18578772 24255619 24771696 27868158 37157544 48511238 55736316 72766857 74315088 97022476 111472632 145533714 194044952 218300571 222945264 291067428 388089904 436601142 582134856 654901713 873202284 1164269712 1309803426 1746404568 2619606852 3492809136 5239213704 10478427408