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96195048660 = 223352337353593
BaseRepresentation
bin101100110010110101…
…0111111010011010100
3100012021222221210021000
41121211222333103110
53034001413024120
6112105201423300
76643542264624
oct1314552772324
9305258853230
1096195048660
1137883662917
121678763ab30
1390c0430749
1449279a0884
152780191990
hex1665abf4d4

96195048660 has 384 divisors, whose sum is σ = 322176476160. Its totient is φ = 23765778432.

The previous prime is 96195048629. The next prime is 96195048731. The reversal of 96195048660 is 6684059169.

It is a happy number.

96195048660 is a `hidden beast` number, since 96 + 19 + 5 + 0 + 486 + 60 = 666.

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 = 96195048597 and 96195048606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162217324 + ... + 162217916.

It is an arithmetic number, because the mean of its divisors is an integer number (839001240).

Almost surely, 296195048660 is an apocalyptic number.

96195048660 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 96195048660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161088238080).

96195048660 is an abundant number, since it is smaller than the sum of its proper divisors (225981427500).

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

96195048660 is a wasteful number, since it uses less digits than its factorization.

96195048660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 96195048660 in words is "ninety-six billion, one hundred ninety-five million, forty-eight thousand, six hundred sixty".