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8745399080964 = 223271321967971663
BaseRepresentation
bin111111101000011001001…
…1001111101100000000100
31010222001101220021001211100
41333100302121331200010
52121241034131042324
630333325245140100
71561556066444340
oct177206231754004
933861356231740
108745399080964
1128719a2875357
12b92b0055a630
134b58c2851400
142233cb218620
1510274b9dc4c9
hex7f43267d804

8745399080964 has 864 divisors, whose sum is σ = 29546141614080. Its totient is φ = 2129000620032.

The previous prime is 8745399080911. The next prime is 8745399080981. The reversal of 8745399080964 is 4690809935478.

8745399080964 is a `hidden beast` number, since 8 + 7 + 4 + 539 + 9 + 0 + 80 + 9 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8745399080892 and 8745399080901.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5258807997 + ... + 5258809659.

Almost surely, 28745399080964 is an apocalyptic number.

8745399080964 is a gapful number since it is divisible by the number (84) 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 8745399080964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773070807040).

8745399080964 is an abundant number, since it is smaller than the sum of its proper divisors (20800742533116).

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

8745399080964 is a wasteful number, since it uses less digits than its factorization.

8745399080964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 8745399080964 in words is "eight trillion, seven hundred forty-five billion, three hundred ninety-nine million, eighty thousand, nine hundred sixty-four".