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92431204272 = 243311371314013
BaseRepresentation
bin101011000010101010…
…1000011111110110000
322211120200121200102000
41112011111003332300
53003244342014042
6110243505254000
76451350162441
oct1260525037660
9284520550360
1092431204272
1136222006920
1215ab7034300
1389407150a4
14468bb612c8
15260ea1874c
hex1585543fb0

92431204272 has 320 divisors, whose sum is σ = 299597253120. Its totient is φ = 27037670400.

The previous prime is 92431204189. The next prime is 92431204291. The reversal of 92431204272 is 27240213429.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23030938 + ... + 23034950.

It is an arithmetic number, because the mean of its divisors is an integer number (936241416).

Almost surely, 292431204272 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 92431204272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149798626560).

92431204272 is an abundant number, since it is smaller than the sum of its proper divisors (207166048848).

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

92431204272 is a wasteful number, since it uses less digits than its factorization.

92431204272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 92431204272 in words is "ninety-two billion, four hundred thirty-one million, two hundred four thousand, two hundred seventy-two".