Search a number
-
+
6710061980160 = 29345711420253
BaseRepresentation
bin110000110100100111011…
…0111000101101000000000
3212202110211202102111120000
41201221032313011220000
51334414201331331120
622134320535320000
71261533406521630
oct141511667055000
925673752374500
106710061980160
1121577a3069730
12904556220000
133989aa2a8546
14192aa958c6c0
15b9826592990
hex61a4edc5a00

6710061980160 has 800 divisors, whose sum is σ = 29963693308032. Its totient is φ = 1394295275520.

The previous prime is 6710061980057. The next prime is 6710061980179. The reversal of 6710061980160 is 610891600176.

6710061980160 is a `hidden beast` number, since 6 + 7 + 10 + 0 + 619 + 8 + 0 + 16 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 15756594 + ... + 16176846.

Almost surely, 26710061980160 is an apocalyptic number.

6710061980160 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 6710061980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981846654016).

6710061980160 is an abundant number, since it is smaller than the sum of its proper divisors (23253631327872).

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

6710061980160 is a wasteful number, since it uses less digits than its factorization.

6710061980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420306 (or 420281 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 6710061980160 in words is "six trillion, seven hundred ten billion, sixty-one million, nine hundred eighty thousand, one hundred sixty".