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9241242412032 = 210321002738977
BaseRepresentation
bin1000011001111010010011…
…1110001010010000000000
31012201110021001222010020200
42012132210332022100000
52202402031024141112
631353211304405200
71642441413303501
oct206364476122000
935643231863220
109241242412032
112a43209471974
121053021476800
135205a3785267
1423d3c8384ba8
151105bc74ecdc
hex867a4f8a400

9241242412032 has 66 divisors (see below), whose sum is σ = 26683886943558. Its totient is φ = 3080414134272.

The previous prime is 9241242411979. The next prime is 9241242412049. The reversal of 9241242412032 is 2302142421429.

9241242412032 is a `hidden beast` number, since 9 + 24 + 1 + 2 + 424 + 1 + 203 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4790425199616 + 4450817212416 = 2188704^2 + 2109696^2 .

It is a super-2 number, since 2×92412424120322 (a number of 27 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501360273 + ... + 501378704.

Almost surely, 29241242412032 is an apocalyptic number.

It is an amenable number.

9241242412032 is an abundant number, since it is smaller than the sum of its proper divisors (17442644531526).

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

9241242412032 is a wasteful number, since it uses less digits than its factorization.

9241242412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002739003 (or 1002738982 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 9241242412032 in words is "nine trillion, two hundred forty-one billion, two hundred forty-two million, four hundred twelve thousand, thirty-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 1024 1152 1536 2304 3072 4608 9216 1002738977 2005477954 3008216931 4010955908 6016433862 8021911816 9024650793 12032867724 16043823632 18049301586 24065735448 32087647264 36098603172 48131470896 64175294528 72197206344 96262941792 128350589056 144394412688 192525883584 256701178112 288788825376 385051767168 513402356224 577577650752 770103534336 1026804712448 1155155301504 1540207068672 2310310603008 3080414137344 4620621206016 9241242412032