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97112739960 = 2332519367587
BaseRepresentation
bin101101001110001011…
…1101101000001111000
3100021122221202100001200
41122130113231001320
53042341330134320
6112340223014200
710005354445515
oct1323427550170
9307587670050
1097112739960
1138204678985
12169a2a3a360
1392085ac752
1449b380430c
1527d5a15290
hex169c5ed078

97112739960 has 384 divisors, whose sum is σ = 338696467200. Its totient is φ = 24126398208.

The previous prime is 97112739953. The next prime is 97112740001. The reversal of 97112739960 is 6993721179.

It is a happy number.

97112739960 is a `hidden beast` number, since 9 + 71 + 127 + 399 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97112739897 and 97112739906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165438787 + ... + 165439373.

It is an arithmetic number, because the mean of its divisors is an integer number (882022050).

Almost surely, 297112739960 is an apocalyptic number.

97112739960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97112739960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169348233600).

97112739960 is an abundant number, since it is smaller than the sum of its proper divisors (241583727240).

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

97112739960 is a wasteful number, since it uses less digits than its factorization.

97112739960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 97112739960 in words is "ninety-seven billion, one hundred twelve million, seven hundred thirty-nine thousand, nine hundred sixty".