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97386831360 = 293457132397
BaseRepresentation
bin101101010110010110…
…1010001111000000000
3100022101001111121210000
41122230231101320000
53043422012100420
6112423333440000
710015223260020
oct1325455217000
9308331447700
1097386831360
11383353668a5
1216a5a7a0000
139250308900
1449dbd91a80
1527eeb07690
hex16acb51e00

97386831360 has 1200 divisors, whose sum is σ = 432749329056. Its totient is φ = 20495794176.

The previous prime is 97386831331. The next prime is 97386831383. The reversal of 97386831360 is 6313868379.

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 = 97386831297 and 97386831306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245306682 + ... + 245307078.

Almost surely, 297386831360 is an apocalyptic number.

97386831360 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 97386831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216374664528).

97386831360 is an abundant number, since it is smaller than the sum of its proper divisors (335362497696).

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

97386831360 is a wasteful number, since it uses less digits than its factorization.

97386831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 97386831360 in words is "ninety-seven billion, three hundred eighty-six million, eight hundred thirty-one thousand, three hundred sixty".