Search a number
-
+
696477040704 = 26346721732
BaseRepresentation
bin10100010001010010100…
…01000100000001000000
32110120201200102112010000
422020221101010001000
542402341110300304
61251542424040000
7101214231111114
oct12105121040100
92416650375100
10696477040704
11249413150195
12b2b94903000
13508a6622243
14259d148b744
15131b4b62939
hexa229444040

696477040704 has 315 divisors, whose sum is σ = 2108035394157. Its totient is φ = 227372023296.

The previous prime is 696477040697. The next prime is 696477040789. The reversal of 696477040704 is 407040774696.

The square root of 696477040704 is 834552.

It is a perfect power (a square), and thus also a powerful number.

696477040704 is a `hidden beast` number, since 69 + 6 + 477 + 0 + 40 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 633552321600 + 62924719104 = 795960^2 + 250848^2 .

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 44 ways as a sum of consecutive naturals, for example, 4025878762 + ... + 4025878934.

Almost surely, 2696477040704 is an apocalyptic number.

696477040704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

696477040704 is the 834552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 696477040704

696477040704 is an abundant number, since it is smaller than the sum of its proper divisors (1411558353453).

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

696477040704 is an frugal number, since it uses more digits than its factorization.

696477040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 696477040704 in words is "six hundred ninety-six billion, four hundred seventy-seven million, forty thousand, seven hundred four".