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9997298602560 = 263255365495929
BaseRepresentation
bin1001000101111010110101…
…1011101001001001000000
31022101201202221002001012100
42101132231123221021000
52302243431420240220
633132410124430400
72051165244011103
oct221365533511100
938351687061170
109997298602560
113204915483155
1211556630a8400
135769835a29b9
14267c2c45473a
151250bcbd3d90
hex917ad6e9240

9997298602560 has 168 divisors, whose sum is σ = 35035344859320. Its totient is φ = 2615645380608.

The previous prime is 9997298602519. The next prime is 9997298602601. The reversal of 9997298602560 is 652068927999.

9997298602560 is a `hidden beast` number, since 9 + 9 + 9 + 7 + 2 + 9 + 8 + 602 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9997298602519) and next prime (9997298602601).

It can be written as a sum of positive squares in 4 ways, for example, as 1116707881536 + 8880590721024 = 1056744^2 + 2980032^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32595325 + ... + 32900604.

Almost surely, 29997298602560 is an apocalyptic number.

9997298602560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9997298602560 is an abundant number, since it is smaller than the sum of its proper divisors (25038046256760).

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

9997298602560 is a wasteful number, since it uses less digits than its factorization.

9997298602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65496005 (or 65495992 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 9997298602560 in words is "nine trillion, nine hundred ninety-seven billion, two hundred ninety-eight million, six hundred two thousand, five hundred sixty".