Search a number
-
+
690643134720 = 28335711259531
BaseRepresentation
bin10100000110011011000…
…10011110100100000000
32110000200002220101121000
422003031202132210000
542303414120302340
61245135503132000
7100616531532630
oct12031542364400
92400602811530
10690643134720
1124699a054290
12b1a26ba4000
1350186a9b976
14255da7566c0
1512e728d7d30
hexa0cd89e900

690643134720 has 576 divisors, whose sum is σ = 3055584430080. Its totient is φ = 143509708800.

The previous prime is 690643134691. The next prime is 690643134757. The reversal of 690643134720 is 27431346096.

690643134720 is a `hidden beast` number, since 6 + 90 + 64 + 31 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2531355 + ... + 2790885.

It is an arithmetic number, because the mean of its divisors is an integer number (5304834080).

Almost surely, 2690643134720 is an apocalyptic number.

690643134720 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 690643134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527792215040).

690643134720 is an abundant number, since it is smaller than the sum of its proper divisors (2364941295360).

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

690643134720 is a wasteful number, since it uses less digits than its factorization.

690643134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259579 (or 259559 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 690643134720 in words is "six hundred ninety billion, six hundred forty-three million, one hundred thirty-four thousand, seven hundred twenty".