Search a number
-
+
685457500032 = 27341931311117
BaseRepresentation
bin10011111100110000111…
…00110110011110000000
32102112021201012212010000
421332120130312132000
542212304110000112
61242521141040000
7100344163421304
oct11763034663600
92375251185100
10685457500032
11244778986188
12b0a1a3b6000
134c83b645586
1425267b71d04
1512c6c5137dc
hex9f98736780

685457500032 has 320 divisors, whose sum is σ = 2154328189200. Its totient is φ = 215749287936.

The previous prime is 685457500009. The next prime is 685457500043. The reversal of 685457500032 is 230005754586.

685457500032 is a `hidden beast` number, since 6 + 8 + 545 + 75 + 0 + 0 + 0 + 32 = 666.

685457500032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61652938 + ... + 61664054.

Almost surely, 2685457500032 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 685457500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077164094600).

685457500032 is an abundant number, since it is smaller than the sum of its proper divisors (1468870689168).

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

685457500032 is a wasteful number, since it uses less digits than its factorization.

685457500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 685457500032 in words is "six hundred eighty-five billion, four hundred fifty-seven million, five hundred thousand, thirty-two".