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97000062125472 = 2533113141531271193
BaseRepresentation
bin10110000011100010010110…
…001111110000010110100000
3110201110010010002221112222000
4112003202112033300112200
5100203222111401003342
6542145114030444000
726301010652014032
oct2603422617602640
9421403102845860
1097000062125472
11289a854a313270
12aa67318663600
1342180b345859c
1419d4b8428bc52
15b332da74d44c
hex5838963f05a0

97000062125472 has 1536 divisors, whose sum is σ = 335420121415680. Its totient is φ = 26991304704000.

The previous prime is 97000062125467. The next prime is 97000062125501. The reversal of 97000062125472 is 27452126000079.

97000062125472 is a `hidden beast` number, since 97 + 0 + 0 + 0 + 0 + 6 + 2 + 12 + 547 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81307679308 + ... + 81307680500.

It is an arithmetic number, because the mean of its divisors is an integer number (218372474880).

Almost surely, 297000062125472 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 97000062125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167710060707840).

97000062125472 is an abundant number, since it is smaller than the sum of its proper divisors (238420059290208).

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

97000062125472 is a wasteful number, since it uses less digits than its factorization.

97000062125472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 97000062125472 in words is "ninety-seven trillion, sixty-two million, one hundred twenty-five thousand, four hundred seventy-two".