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10532056591872 = 29324264953591
BaseRepresentation
bin1001100101000010111101…
…1111011110111000000000
31101021212002010120120010100
42121100233133132320000
52340024122441414442
634222205432202400
72134626115635324
oct231205737367000
941255063516110
1010532056591872
1133a0690415452
121221224539400
135b522676b34a
14285a7b987984
15133e69ee084c
hex9942f7dee00

10532056591872 has 120 divisors (see below), whose sum is σ = 30397508341200. Its totient is φ = 3510537707520.

The previous prime is 10532056591831. The next prime is 10532056591877. The reversal of 10532056591872 is 27819565023501.

10532056591872 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 0 + 565 + 9 + 1 + 8 + 72 = 666.

10532056591872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105320565918722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532056591877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196499797 + ... + 196553387.

It is an arithmetic number, because the mean of its divisors is an integer number (253312569510).

Almost surely, 210532056591872 is an apocalyptic number.

10532056591872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10532056591872 is an abundant number, since it is smaller than the sum of its proper divisors (19865451749328).

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

10532056591872 is an equidigital number, since it uses as much as digits as its factorization.

10532056591872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96264 (or 96245 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 10532056591872 in words is "ten trillion, five hundred thirty-two billion, fifty-six million, five hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 42649 53591 85298 107182 127947 160773 170596 214364 255894 321546 341192 383841 428728 482319 511788 643092 682384 767682 857456 964638 1023576 1286184 1364768 1535364 1714912 1929276 2047152 2572368 2729536 3070728 3429824 3858552 4094304 5144736 5459072 6141456 6859648 7717104 8188608 10289472 10918144 12282912 13719296 15434208 16377216 20578944 21836288 24565824 27438592 30868416 32754432 41157888 49131648 61736832 65508864 82315776 98263296 123473664 196526592 246947328 2285602559 4571205118 6856807677 9142410236 13713615354 18284820472 20570423031 27427230708 36569640944 41140846062 54854461416 73139281888 82281692124 109708922832 146278563776 164563384248 219417845664 292557127552 329126768496 438835691328 585114255104 658253536992 877671382656 1170228510208 1316507073984 1755342765312 2633014147968 3510685530624 5266028295936 10532056591872