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10024157328 = 243616735087
BaseRepresentation
bin10010101010111110…
…01000000010010000
3221212121012221202020
421111133020002100
5131012141013303
64334404251440
7503256634323
oct112537100220
927777187666
1010024157328
114284414849
121b390a0b80
13c399c7c53
146b14507ba
153da080a53
hex2557c8090

10024157328 has 80 divisors (see below), whose sum is σ = 26364550656. Its totient is φ = 3281080320.

The previous prime is 10024157317. The next prime is 10024157329. The reversal of 10024157328 is 82375142001.

It is not an unprimeable number, because it can be changed into a prime (10024157329) by changing a digit.

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, 1968001 + ... + 1973087.

Almost surely, 210024157328 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 10024157328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182275328).

10024157328 is an abundant number, since it is smaller than the sum of its proper divisors (16340393328).

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

10024157328 is a wasteful number, since it uses less digits than its factorization.

10024157328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 10024157328 its reverse (82375142001), we get a palindrome (92399299329).

The spelling of 10024157328 in words is "ten billion, twenty-four million, one hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 673 732 976 1346 1464 2019 2692 2928 4038 5087 5384 8076 10174 10768 15261 16152 20348 30522 32304 40696 41053 61044 81392 82106 122088 123159 164212 244176 246318 310307 328424 492636 620614 656848 930921 985272 1241228 1861842 1970544 2482456 3423551 3723684 4964912 6847102 7447368 10270653 13694204 14894736 20541306 27388408 41082612 54776816 82165224 164330448 208836611 417673222 626509833 835346444 1253019666 1670692888 2506039332 3341385776 5012078664 10024157328