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690067797120 = 273451317293167
BaseRepresentation
bin10100000101010110011…
…11101111010010000000
32102222012000022012210000
422002223033233102000
542301224324001440
61245002431440000
7100566344331552
oct12025317572200
92388160265700
10690067797120
11246724310669
12b18a6386000
13500c4829710
142558418d4d2
1512e3c13c730
hexa0ab3ef480

690067797120 has 2560 divisors, whose sum is σ = 3045492172800. Its totient is φ = 147149291520.

The previous prime is 690067797113. The next prime is 690067797157. The reversal of 690067797120 is 21797760096.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10299519327 + ... + 10299519393.

It is an arithmetic number, because the mean of its divisors is an integer number (1189645380).

Almost surely, 2690067797120 is an apocalyptic number.

690067797120 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 690067797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522746086400).

690067797120 is an abundant number, since it is smaller than the sum of its proper divisors (2355424375680).

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

690067797120 is a wasteful number, since it uses less digits than its factorization.

690067797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 690067797120 in words is "six hundred ninety billion, sixty-seven million, seven hundred ninety-seven thousand, one hundred twenty".