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97039708128 = 25341129117361
BaseRepresentation
bin101101001100000000…
…1000110111111100000
3100021110212022221020000
41122120001012333200
53042214131130003
6112325053420000
710003506623646
oct1323001067740
9307425287200
1097039708128
1138177426aa0
121698249a600
1391c641bc4c
1449a7c33196
1527ce3db1a3
hex1698046fe0

97039708128 has 240 divisors, whose sum is σ = 322074189360. Its totient is φ = 28391731200.

The previous prime is 97039708093. The next prime is 97039708153. The reversal of 97039708128 is 82180793079.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 768168 + ... + 885528.

It is an arithmetic number, because the mean of its divisors is an integer number (1341975789).

Almost surely, 297039708128 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 97039708128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161037094680).

97039708128 is an abundant number, since it is smaller than the sum of its proper divisors (225034481232).

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

97039708128 is a wasteful number, since it uses less digits than its factorization.

97039708128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117423 (or 117406 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 97039708128 in words is "ninety-seven billion, thirty-nine million, seven hundred eight thousand, one hundred twenty-eight".