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10532439072 = 25344063441
BaseRepresentation
bin10011100111100100…
…00100010000100000
31000012000122100020000
421303302010100200
5133032301022242
64501042420000
7522001153311
oct116362042040
930160570200
1010532439072
114515318401
12205b361600
13cbb0bc78c
1471cb60608
154199d2a4c
hex273c84420

10532439072 has 60 divisors (see below), whose sum is σ = 30975618366. Its totient is φ = 3510812160.

The previous prime is 10532439067. The next prime is 10532439083. The reversal of 10532439072 is 27093423501.

10532439072 is a `hidden beast` number, since 10 + 532 + 43 + 9 + 0 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7659050256 + 2873388816 = 87516^2 + 53604^2 .

It is a super-2 number, since 2×105324390722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2029129 + ... + 2034312.

Almost surely, 210532439072 is an apocalyptic number.

10532439072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10532439072 is an abundant number, since it is smaller than the sum of its proper divisors (20443179294).

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

10532439072 is an equidigital number, since it uses as much as digits as its factorization.

10532439072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063463 (or 4063446 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10532439072 in words is "ten billion, five hundred thirty-two million, four hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4063441 8126882 12190323 16253764 24380646 32507528 36570969 48761292 65015056 73141938 97522584 109712907 130030112 146283876 195045168 219425814 292567752 329138721 390090336 438851628 585135504 658277442 877703256 1170271008 1316554884 1755406512 2633109768 3510813024 5266219536 10532439072