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97697553408 = 21033713229103
BaseRepresentation
bin101101011111100111…
…0100101110000000000
3100100011201011221022000
41122333032211300000
53100041033202113
6112514233344000
710026015334140
oct1327716456000
9310151157260
1097697553408
11384847a3984
1216b26868000
13929c7bbb00
144a2b356920
15281c033373
hex16bf3a5c00

97697553408 has 1056 divisors, whose sum is σ = 374001638400. Its totient is φ = 24636358656.

The previous prime is 97697553383. The next prime is 97697553433. The reversal of 97697553408 is 80435579679.

97697553408 is a `hidden beast` number, since 9 + 7 + 6 + 97 + 5 + 534 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (97697553383) and next prime (97697553433).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948519885 + ... + 948519987.

Almost surely, 297697553408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97697553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187000819200).

97697553408 is an abundant number, since it is smaller than the sum of its proper divisors (276304084992).

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

97697553408 is a wasteful number, since it uses less digits than its factorization.

97697553408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 97697553408 in words is "ninety-seven billion, six hundred ninety-seven million, five hundred fifty-three thousand, four hundred eight".