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10024012032 = 28329394441
BaseRepresentation
bin10010101010111101…
…00100100100000000
3221212120221120102220
421111132210210000
5131012121341112
64334401211040
7503255460606
oct112536444400
927776846386
1010024012032
114284325671
121b39030a80
13c39976a88
146b1413876
153da05298c
hex2557a4900

10024012032 has 72 divisors (see below), whose sum is σ = 26693577120. Its totient is φ = 3339448320.

The previous prime is 10024012003. The next prime is 10024012049. The reversal of 10024012032 is 23021042001.

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 7 ways as a sum of consecutive naturals, for example, 2254932 + ... + 2259372.

Almost surely, 210024012032 is an apocalyptic number.

10024012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10024012032 is an abundant number, since it is smaller than the sum of its proper divisors (16669565088).

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

10024012032 is an equidigital number, since it uses as much as digits as its factorization.

10024012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10024012032 its reverse (23021042001), we get a palindrome (33045054033).

The spelling of 10024012032 in words is "ten billion, twenty-four million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2939 4441 5878 8817 8882 11756 13323 17634 17764 23512 26646 35268 35528 47024 53292 70536 71056 94048 106584 141072 142112 188096 213168 282144 284224 376192 426336 564288 568448 752384 852672 1128576 1136896 1705344 2257152 3410688 13052099 26104198 39156297 52208396 78312594 104416792 156625188 208833584 313250376 417667168 626500752 835334336 1253001504 1670668672 2506003008 3341337344 5012006016 10024012032