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97423686360 = 2335571113171931
BaseRepresentation
bin101101010111011100…
…1110111101011011000
3100022110121212001100000
41122232321313223120
53044010430430420
6112431131413000
710016151446010
oct1325671675330
9308417761300
1097423686360
1138354149580
1216a6abb4160
139257b40ac0
144a02c26c40
152802e87690
hex16aee77ad8

97423686360 has 3072 divisors, whose sum is σ = 507219148800. Its totient is φ = 16124313600.

The previous prime is 97423686307. The next prime is 97423686401. The reversal of 97423686360 is 6368632479.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97423686297 and 97423686306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3142699545 + ... + 3142699575.

It is an arithmetic number, because the mean of its divisors is an integer number (165110400).

Almost surely, 297423686360 is an apocalyptic number.

97423686360 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 97423686360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253609574400).

97423686360 is an abundant number, since it is smaller than the sum of its proper divisors (409795462440).

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

97423686360 is a wasteful number, since it uses less digits than its factorization.

97423686360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 97423686360 in words is "ninety-seven billion, four hundred twenty-three million, six hundred eighty-six thousand, three hundred sixty".