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97901975808 = 28347133307
BaseRepresentation
bin101101100101101101…
…0011001100100000000
3100100200221211200010000
41123023122121210000
53101000401211213
6112550415040000
710034050030620
oct1331332314400
9310627750100
1097901975808
113857a12750a
1216b83210000
139302c64000
144a4a56a880
15282ee62c73
hex16cb699900

97901975808 has 720 divisors, whose sum is σ = 362596769920. Its totient is φ = 25736196096.

The previous prime is 97901975807. The next prime is 97901975819. The reversal of 97901975808 is 80857910979.

It is a super-2 number, since 2×979019758082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (97901975807) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 318898791 + ... + 318899097.

Almost surely, 297901975808 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 97901975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181298384960).

97901975808 is an abundant number, since it is smaller than the sum of its proper divisors (264694794112).

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

97901975808 is an equidigital number, since it uses as much as digits as its factorization.

97901975808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 97901975808 in words is "ninety-seven billion, nine hundred one million, nine hundred seventy-five thousand, eight hundred eight".