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20410150368 = 2535927113297
BaseRepresentation
bin10011000000100010…
…100010110111100000
31221200102022001210010
4103000202202313200
5313244444302433
613213140204520
71321532262366
oct230042426740
957612261703
1020410150368
118723aa8073
123b57399740
131c0366136a
14db896d636
157e6c86e63
hex4c08a2de0

20410150368 has 96 divisors (see below), whose sum is σ = 54689886720. Its totient is φ = 6662891520.

The previous prime is 20410150349. The next prime is 20410150399. The reversal of 20410150368 is 86305101402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528296 + ... + 1541592.

It is an arithmetic number, because the mean of its divisors is an integer number (569686320).

Almost surely, 220410150368 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 20410150368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27344943360).

20410150368 is an abundant number, since it is smaller than the sum of its proper divisors (34279736352).

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

20410150368 is a wasteful number, since it uses less digits than its factorization.

20410150368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640 (or 13632 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 20410150368 in words is "twenty billion, four hundred ten million, one hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 271 354 472 542 708 813 944 1084 1416 1626 1888 2168 2832 3252 4336 5664 6504 8672 13008 13297 15989 26016 26594 31978 39891 47967 53188 63956 79782 95934 106376 127912 159564 191868 212752 255824 319128 383736 425504 511648 638256 767472 784523 1276512 1534944 1569046 2353569 3138092 3603487 4707138 6276184 7206974 9414276 10810461 12552368 14413948 18828552 21620922 25104736 28827896 37657104 43241844 57655792 75314208 86483688 115311584 172967376 212605733 345934752 425211466 637817199 850422932 1275634398 1700845864 2551268796 3401691728 5102537592 6803383456 10205075184 20410150368