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690814126080 = 21132513836947
BaseRepresentation
bin10100000110101111011…
…10110000100000000000
32110001010000122122122100
422003113232300200000
542304241404013310
61245204452110400
7100624006121001
oct12032756604000
92401100578570
10690814126080
11246a77623661
12b1a74305400
13501b333a2a0
14256153471a8
1512e82911ec0
hexa0d7bb0800

690814126080 has 576 divisors, whose sum is σ = 2609850559680. Its totient is φ = 167973617664.

The previous prime is 690814126043. The next prime is 690814126087. The reversal of 690814126080 is 80621418096.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (690814126087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99437167 + ... + 99444113.

It is an arithmetic number, because the mean of its divisors is an integer number (4530990555).

Almost surely, 2690814126080 is an apocalyptic number.

690814126080 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 690814126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304925279840).

690814126080 is an abundant number, since it is smaller than the sum of its proper divisors (1919036433600).

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

690814126080 is a wasteful number, since it uses less digits than its factorization.

690814126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 690814126080 in words is "six hundred ninety billion, eight hundred fourteen million, one hundred twenty-six thousand, eighty".