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97970847840 = 25345231033191
BaseRepresentation
bin101101100111110000…
…1001000000001100000
3100100212202102201210000
41123033201020001200
53101121014112330
6113001315140000
710035544315665
oct1331741100140
9310782381700
1097970847840
1138604a98048
1216ba22a4600
1393142c92a8
144a55777a6c
152836019560
hex16cf848060

97970847840 has 480 divisors, whose sum is σ = 364405257216. Its totient is φ = 24739292160.

The previous prime is 97970847829. The next prime is 97970847859. The reversal of 97970847840 is 4874807979.

It is a happy number.

97970847840 is a `hidden beast` number, since 97 + 9 + 70 + 8 + 478 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30700645 + ... + 30703835.

Almost surely, 297970847840 is an apocalyptic number.

97970847840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97970847840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182202628608).

97970847840 is an abundant number, since it is smaller than the sum of its proper divisors (266434409376).

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

97970847840 is a wasteful number, since it uses less digits than its factorization.

97970847840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 97970847840 in words is "ninety-seven billion, nine hundred seventy million, eight hundred forty-seven thousand, eight hundred forty".