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97669575680 = 2105131223653
BaseRepresentation
bin101101011110110001…
…1110111010000000000
3100100002202112112001212
41122331203313100000
53100011402410210
6112511353545252
710025225460335
oct1327543672000
9310082475055
1097669575680
113846aa24896
1216b19415228
139296a74441
144a2775298c
152819858805
hex16bd8f7400

97669575680 has 176 divisors, whose sum is σ = 237502831104. Its totient is φ = 38536642560.

The previous prime is 97669575671. The next prime is 97669575743. The reversal of 97669575680 is 8657596679.

It is a super-2 number, since 2×976695756802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97669575680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149570234 + ... + 149570886.

It is an arithmetic number, because the mean of its divisors is an integer number (1349447904).

Almost surely, 297669575680 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 97669575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118751415552).

97669575680 is an abundant number, since it is smaller than the sum of its proper divisors (139833255424).

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

97669575680 is a wasteful number, since it uses less digits than its factorization.

97669575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 68.

The spelling of 97669575680 in words is "ninety-seven billion, six hundred sixty-nine million, five hundred seventy-five thousand, six hundred eighty".