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687768912740 = 22573138578999
BaseRepresentation
bin10100000001000100011…
…10001100001101100100
32102202020210112210021002
422000202032030031210
542232022320201430
61243542350412432
7100455361205000
oct12004216141544
92382223483232
10687768912740
11245754691818
12b1364501118
134cb194852c0
1425406b31700
1512d553db845
hexa02238c364

687768912740 has 192 divisors, whose sum is σ = 1816214400000. Its totient is φ = 217389376512.

The previous prime is 687768912731. The next prime is 687768912763. The reversal of 687768912740 is 47219867786.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76422761 + ... + 76431759.

It is an arithmetic number, because the mean of its divisors is an integer number (9459450000).

Almost surely, 2687768912740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687768912740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200000).

687768912740 is an abundant number, since it is smaller than the sum of its proper divisors (1128445487260).

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

687768912740 is a wasteful number, since it uses less digits than its factorization.

687768912740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9899 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 65.

The spelling of 687768912740 in words is "six hundred eighty-seven billion, seven hundred sixty-eight million, nine hundred twelve thousand, seven hundred forty".