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10480166832 = 2431926942719
BaseRepresentation
bin10011100001010101…
…01010011110110000
31000001101021122012010
421300222222132300
5132430410314312
64451534202520
7520464643152
oct116052523660
930041248163
1010480166832
114498865503
122045953440
13cb031a065
14715c34ad2
1541510993c
hex270aaa7b0

10480166832 has 80 divisors (see below), whose sum is σ = 28605312000. Its totient is φ = 3297146112.

The previous prime is 10480166803. The next prime is 10480166833. The reversal of 10480166832 is 23866108401.

It is not an unprimeable number, because it can be changed into a prime (10480166833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223969 + ... + 266687.

It is an arithmetic number, because the mean of its divisors is an integer number (357566400).

Almost surely, 210480166832 is an apocalyptic number.

10480166832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10480166832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302656000).

10480166832 is an abundant number, since it is smaller than the sum of its proper divisors (18125145168).

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

10480166832 is a wasteful number, since it uses less digits than its factorization.

10480166832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43018 (or 43012 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10480166832 in words is "ten billion, four hundred eighty million, one hundred sixty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 269 304 456 538 807 912 1076 1614 2152 3228 4304 5111 6456 10222 12912 15333 20444 30666 40888 42719 61332 81776 85438 122664 128157 170876 245328 256314 341752 512628 683504 811661 1025256 1623322 2050512 2434983 3246644 4869966 6493288 9739932 11491411 12986576 19479864 22982822 34474233 38959728 45965644 68948466 91931288 137896932 183862576 218336809 275793864 436673618 551587728 655010427 873347236 1310020854 1746694472 2620041708 3493388944 5240083416 10480166832