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690975852000 = 253537210910781
BaseRepresentation
bin10100000111000010101…
…11101100010111100000
32110001112021222011220020
422003201113230113200
542310104304231000
61245232510313440
7100631011556100
oct12034127542740
92401467864806
10690975852000
1124704a944745
12b1aba4b8880
135020a9b34b5
142562ca05200
1512e91c0aba0
hexa0e15ec5e0

690975852000 has 576 divisors, whose sum is σ = 2657614639680. Its totient is φ = 156473856000.

The previous prime is 690975851989. The next prime is 690975852011. The reversal of 690975852000 is 258579096.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (690975851989) and next prime (690975852011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64086610 + ... + 64097390.

It is an arithmetic number, because the mean of its divisors is an integer number (4613914305).

Almost surely, 2690975852000 is an apocalyptic number.

690975852000 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 690975852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328807319840).

690975852000 is an abundant number, since it is smaller than the sum of its proper divisors (1966638787680).

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

690975852000 is a wasteful number, since it uses less digits than its factorization.

690975852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10932 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 690975852000 in words is "six hundred ninety billion, nine hundred seventy-five million, eight hundred fifty-two thousand".