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9997324332048 = 2432115837599341
BaseRepresentation
bin1001000101111010111011…
…1101110010110000010000
31022101201211201111020102100
42101132232331302300100
52302244010012111143
633132412444120400
72051166005502144
oct221365675626020
938351751436370
109997324332048
113204928a57099
12115566b836100
13576988a10c51
14267c31a31224
151250c00b76d3
hex917aef72c10

9997324332048 has 60 divisors (see below), whose sum is σ = 27978911174188. Its totient is φ = 3332407115520.

The previous prime is 9997324332043. The next prime is 9997324332091. The reversal of 9997324332048 is 8402334237999.

9997324332048 is a `hidden beast` number, since 9 + 99 + 73 + 2 + 433 + 2 + 0 + 48 = 666.

9997324332048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7322176226304 + 2675148105744 = 2705952^2 + 1635588^2 .

It is not an unprimeable number, because it can be changed into a prime (9997324332041) 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, 16380858 + ... + 16980198.

Almost surely, 29997324332048 is an apocalyptic number.

It is an amenable number.

9997324332048 is an abundant number, since it is smaller than the sum of its proper divisors (17981586842140).

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

9997324332048 is a wasteful number, since it uses less digits than its factorization.

9997324332048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715192 (or 715183 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 9997324332048 in words is "nine trillion, nine hundred ninety-seven billion, three hundred twenty-four million, three hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 115837 231674 347511 463348 599341 695022 926696 1042533 1198682 1390044 1798023 1853392 2085066 2397364 2780088 3596046 4170132 4794728 5394069 5560176 7192092 8340264 9589456 10788138 14384184 16680528 21576276 28768368 43152552 86305104 69425863417 138851726834 208277590251 277703453668 416555180502 555406907336 624832770753 833110361004 1110813814672 1249665541506 1666220722008 2499331083012 3332441444016 4998662166024 9997324332048