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686630050920 = 233251131432987
BaseRepresentation
bin10011111110111100101…
…01110001110001101000
32102122022102120121112200
421333132111301301220
542222204243112140
61243233344540200
7100415222064102
oct11773625616150
92378272517480
10686630050920
1124521a844000
12b10a7021660
134c997548b78
1425339798572
1512cda42b030
hex9fde571c68

686630050920 has 192 divisors, whose sum is σ = 2454536485440. Its totient is φ = 166455653760.

The previous prime is 686630050867. The next prime is 686630050969. The reversal of 686630050920 is 29050036686.

It is a happy number.

686630050920 is a `hidden beast` number, since 6 + 8 + 6 + 630 + 0 + 5 + 0 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 237334 + ... + 1195653.

It is an arithmetic number, because the mean of its divisors is an integer number (12784044195).

Almost surely, 2686630050920 is an apocalyptic number.

686630050920 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 686630050920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227268242720).

686630050920 is an abundant number, since it is smaller than the sum of its proper divisors (1767906434520).

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

686630050920 is a wasteful number, since it uses less digits than its factorization.

686630050920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433037 (or 1433008 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 686630050920 in words is "six hundred eighty-six billion, six hundred thirty million, fifty thousand, nine hundred twenty".