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69075693960 = 2335721319199239
BaseRepresentation
bin100000001010100111…
…0110111000110001000
320121022000002211100120
41000111032313012020
52112431334201320
651422151503240
74663521465600
oct1002516670610
9217260084316
1069075693960
1127327479289
1211479387b20
13668aac08c0
1434b3d6dc00
151be43d2440
hex10153b7188

69075693960 has 768 divisors, whose sum is σ = 275788800000. Its totient is φ = 13680285696.

The previous prime is 69075693923. The next prime is 69075693971. The reversal of 69075693960 is 6939657096.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 69075693894 and 69075693903.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 289019521 + ... + 289019759.

It is an arithmetic number, because the mean of its divisors is an integer number (359100000).

Almost surely, 269075693960 is an apocalyptic number.

69075693960 is a gapful number since it is divisible by the number (60) 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 69075693960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400000).

69075693960 is an abundant number, since it is smaller than the sum of its proper divisors (206713106040).

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

69075693960 is a wasteful number, since it uses less digits than its factorization.

69075693960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 60.

The spelling of 69075693960 in words is "sixty-nine billion, seventy-five million, six hundred ninety-three thousand, nine hundred sixty".