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97455137472 = 26337113123627
BaseRepresentation
bin101101011000011000…
…1110110001011000000
3100022112211000221011000
41122300301312023000
53044042003344342
6112434213452000
710020013000140
oct1326061661300
9308484027130
1097455137472
113836a980230
1216a79641000
139261503424
144a07092920
152805aeb44c
hex16b0c762c0

97455137472 has 448 divisors, whose sum is σ = 368732897280. Its totient is φ = 24495436800.

The previous prime is 97455137453. The next prime is 97455137473. The reversal of 97455137472 is 27473155479.

97455137472 is a `hidden beast` number, since 97 + 4 + 5 + 51 + 37 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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

It is not an unprimeable number, because it can be changed into a prime (97455137473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112923 + ... + 4136549.

Almost surely, 297455137472 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 97455137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184366448640).

97455137472 is an abundant number, since it is smaller than the sum of its proper divisors (271277759808).

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

97455137472 is a wasteful number, since it uses less digits than its factorization.

97455137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23697 (or 23681 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 97455137472 in words is "ninety-seven billion, four hundred fifty-five million, one hundred thirty-seven thousand, four hundred seventy-two".