Search a number
-
+
108731171275776 = 21032725922632
BaseRepresentation
bin11000101110001111110010…
…110101110000010000000000
3112020222121011021110012120100
4120232033302311300100000
5103222422414321311101
61023130224400442400
731621365533356200
oct3056176265602000
9466877137405510
10108731171275776
11317106a3629945
12102409b5319400
1348893c81171ca
141cbc88c5b4400
15c8853217ae86
hex62e3f2d70400

108731171275776 has 891 divisors, whose sum is σ = 372930503631231. Its totient is φ = 30423385939968.

The previous prime is 108731171275759. The next prime is 108731171275777. The reversal of 108731171275776 is 677572171137801.

The square root of 108731171275776 is 10427424.

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

108731171275776 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 31 + 1 + 7 + 1 + 27 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (108731171275777) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 413426506621 + ... + 413426506883.

Almost surely, 2108731171275776 is an apocalyptic number.

108731171275776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108731171275776 is the 10427424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108731171275776

108731171275776 is an abundant number, since it is smaller than the sum of its proper divisors (264199332355455).

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

108731171275776 is an frugal number, since it uses more digits than its factorization.

108731171275776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 24202080, while the sum is 63.

The spelling of 108731171275776 in words is "one hundred eight trillion, seven hundred thirty-one billion, one hundred seventy-one million, two hundred seventy-five thousand, seven hundred seventy-six".