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97685839680 = 263511132127431
BaseRepresentation
bin101101011111010000…
…1111001111101000000
3100100010220010211002020
41122332201321331000
53100030033332210
6112513134321440
710025513636262
oct1327641717500
9310126124066
1097685839680
1138479123210
1216b22959280
13929a24a200
144a29987b32
15281aebc770
hex16be879f40

97685839680 has 672 divisors, whose sum is σ = 370118688768. Its totient is φ = 21637324800.

The previous prime is 97685839679. The next prime is 97685839763. The reversal of 97685839680 is 8693858679.

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, 226649065 + ... + 226649495.

Almost surely, 297685839680 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 97685839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185059344384).

97685839680 is an abundant number, since it is smaller than the sum of its proper divisors (272432849088).

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

97685839680 is a wasteful number, since it uses less digits than its factorization.

97685839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 97685839680 in words is "ninety-seven billion, six hundred eighty-five million, eight hundred thirty-nine thousand, six hundred eighty".