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689112131904 = 2634727393671
BaseRepresentation
bin10100000011100100100…
…10001010100101000000
32102212201102001101120000
422001302102022211000
542242300201210104
61244323532320000
7100533561321600
oct12016222124500
92385642041500
10689112131904
112462839191a9
12b167a313000
134cca1843141
14254d32a2c00
1512dd32b7639
hexa07248a940

689112131904 has 420 divisors, whose sum is σ = 2380117180320. Its totient is φ = 196569192960.

The previous prime is 689112131867. The next prime is 689112131909. The reversal of 689112131904 is 409131211986.

It is a self number, because there is not a number n which added to its sum of digits gives 689112131904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689112131909) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 187715989 + ... + 187719659.

Almost surely, 2689112131904 is an apocalyptic number.

689112131904 is a gapful number since it is divisible by the number (64) 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 689112131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190058590160).

689112131904 is an abundant number, since it is smaller than the sum of its proper divisors (1691005048416).

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

689112131904 is a wasteful number, since it uses less digits than its factorization.

689112131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 689112131904 in words is "six hundred eighty-nine billion, one hundred twelve million, one hundred thirty-one thousand, nine hundred four".