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10133462032 = 2431831311879
BaseRepresentation
bin10010111000000000…
…00101110000010000
3222011012220012121121
421130000011300100
5131223131241112
64353311132024
7506055002041
oct113400056020
928135805547
1010133462032
114330091011
121b69814014
13c565489a5
146c1b848c8
153e4972407
hex25c005c10

10133462032 has 80 divisors (see below), whose sum is σ = 20678676480. Its totient is φ = 4804675200.

The previous prime is 10133462021. The next prime is 10133462113. The reversal of 10133462032 is 23026433101.

It is a junction number, because it is equal to n+sod(n) for n = 10133461988 and 10133462006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5392069 + ... + 5393947.

It is an arithmetic number, because the mean of its divisors is an integer number (258483456).

Almost surely, 210133462032 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 10133462032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10339338240).

10133462032 is an abundant number, since it is smaller than the sum of its proper divisors (10545214448).

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

10133462032 is a wasteful number, since it uses less digits than its factorization.

10133462032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10133462032 its reverse (23026433101), we get a palindrome (33159895133).

The spelling of 10133462032 in words is "ten billion, one hundred thirty-three million, four hundred sixty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 62 83 124 131 166 248 262 332 496 524 664 1048 1328 1879 2096 2573 3758 4061 5146 7516 8122 10292 10873 15032 16244 20584 21746 30064 32488 41168 43492 58249 64976 86984 116498 155957 173968 232996 246149 311914 337063 465992 492298 623828 674126 931984 984596 1247656 1348252 1969192 2495312 2696504 3938384 4834667 5393008 7630619 9669334 15261238 19338668 20430367 30522476 38677336 40860734 61044952 77354672 81721468 122089904 163442936 326885872 633341377 1266682754 2533365508 5066731016 10133462032