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97871379587040 = 253513110191527457
BaseRepresentation
bin10110010000001101110100…
…110100000101111111100000
3110211112102010201110201100010
4112100031310310011333200
5100312011041133241130
6544053254023524520
726420655011153403
oct2620156464057740
9424472121421303
1097871379587040
1129204023303444
12ab88166bb9740
13427c30178c457
141a250001b3d3a
15b4acd4b400b0
hex590374d05fe0

97871379587040 has 192 divisors, whose sum is σ = 310953301021440. Its totient is φ = 25874371461120.

The previous prime is 97871379587011. The next prime is 97871379587041. The reversal of 97871379587040 is 4078597317879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97871379587041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63310992 + ... + 64838448.

It is an arithmetic number, because the mean of its divisors is an integer number (1619548442820).

Almost surely, 297871379587040 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 97871379587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155476650510720).

97871379587040 is an abundant number, since it is smaller than the sum of its proper divisors (213081921434400).

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

97871379587040 is a wasteful number, since it uses less digits than its factorization.

97871379587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528625 (or 1528617 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 75.

The spelling of 97871379587040 in words is "ninety-seven trillion, eight hundred seventy-one billion, three hundred seventy-nine million, five hundred eighty-seven thousand, forty".