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690160988160 = 2123357376179
BaseRepresentation
bin10100000101100001100…
…11001111000000000000
32102222102111122210212000
422002300303033000000
542301422203110120
61245020001104000
7100601555414550
oct12026063170000
92388374583760
10690160988160
11246771981456
12b1911628000
135010ac27c47
14255926cb160
1512e453e9990
hexa0b0ccf000

690160988160 has 1664 divisors, whose sum is σ = 2964172185600. Its totient is φ = 149060321280.

The previous prime is 690160988147. The next prime is 690160988171. The reversal of 690160988160 is 61889061096.

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 = 690160988097 and 690160988106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8736215001 + ... + 8736215079.

Almost surely, 2690160988160 is an apocalyptic number.

690160988160 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 690160988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482086092800).

690160988160 is an abundant number, since it is smaller than the sum of its proper divisors (2274011197440).

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

690160988160 is a wasteful number, since it uses less digits than its factorization.

690160988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 690160988160 in words is "six hundred ninety billion, one hundred sixty million, nine hundred eighty-eight thousand, one hundred sixty".