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97873054272 = 2634713719687
BaseRepresentation
bin101101100100110110…
…0000100101001000000
3100100121221102022020000
41123021230010221000
53100421000214042
6112543503120000
710033246143360
oct1331154045100
9310557368200
1097873054272
1138564873314
1216b755a3000
1392c9c78b86
144a4679c9a0
15282c64d74c
hex16c9b04a40

97873054272 has 280 divisors, whose sum is σ = 334010227584. Its totient is φ = 27758204928.

The previous prime is 97873054249. The next prime is 97873054309. The reversal of 97873054272 is 27245037879.

97873054272 is a `hidden beast` number, since 97 + 8 + 7 + 3 + 0 + 542 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4961613 + ... + 4981299.

Almost surely, 297873054272 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 97873054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167005113792).

97873054272 is an abundant number, since it is smaller than the sum of its proper divisors (236137173312).

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

97873054272 is a wasteful number, since it uses less digits than its factorization.

97873054272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19855 (or 19836 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 97873054272 in words is "ninety-seven billion, eight hundred seventy-three million, fifty-four thousand, two hundred seventy-two".