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97239520032 = 25337182315017
BaseRepresentation
bin101101010001111101…
…1010101001100100000
3100021222210022102121220
41122203323111030200
53043121304120112
6112400552215040
710011454165644
oct1324373251440
9307883272556
1097239520032
113826a1a06a6
1216a1939a480
13922893b745
1449c65a6c24
1527e1c0998c
hex16a3ed5320

97239520032 has 96 divisors (see below), whose sum is σ = 262313759232. Its totient is φ = 31517743104.

The previous prime is 97239519997. The next prime is 97239520043. The reversal of 97239520032 is 23002593279.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6467788 + ... + 6482804.

It is an arithmetic number, because the mean of its divisors is an integer number (2732434992).

Almost surely, 297239520032 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 97239520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131156879616).

97239520032 is an abundant number, since it is smaller than the sum of its proper divisors (165074239200).

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

97239520032 is a wasteful number, since it uses less digits than its factorization.

97239520032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890 (or 16882 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 97239520032 in words is "ninety-seven billion, two hundred thirty-nine million, five hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 1823 3552 3646 5469 7292 10938 14584 15017 21876 29168 30034 43752 45051 58336 60068 67451 87504 90102 120136 134902 175008 180204 202353 240272 269804 360408 404706 480544 539608 555629 720816 809412 1079216 1111258 1441632 1618824 1666887 2158432 2222516 3237648 3333774 4445032 6475296 6667548 8890064 13335096 17780128 26670192 27375991 53340384 54751982 82127973 109503964 164255946 219007928 328511892 438015856 657023784 876031712 1012911667 1314047568 2025823334 2628095136 3038735001 4051646668 6077470002 8103293336 12154940004 16206586672 24309880008 32413173344 48619760016 97239520032