Search a number
-
+
136771050430560 = 253571317953919309
BaseRepresentation
bin11111000110010001111101…
…111000000110000001100000
3122221021011222122222002010010
4133012101331320012001200
5120411324102402234220
61202515430403404520
740544245062556620
oct3706217570060140
9587234878862103
10136771050430560
113a641305399377
121340b190083740
135b415bb012ab0
1425aba7b5c2880
1510c2ae003d1e0
hex7c647de06060

136771050430560 has 768 divisors, whose sum is σ = 561530004940800. Its totient is φ = 27155453313024.

The previous prime is 136771050430549. The next prime is 136771050430571. The reversal of 136771050430560 is 65034050177631.

It is an interprime number because it is at equal distance from previous prime (136771050430549) and next prime (136771050430571).

It is a super-2 number, since 2×1367710504305602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7083270186 + ... + 7083289494.

It is an arithmetic number, because the mean of its divisors is an integer number (731158860600).

Almost surely, 2136771050430560 is an apocalyptic number.

136771050430560 is a gapful number since it is divisible by the number (10) 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 136771050430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280765002470400).

136771050430560 is an abundant number, since it is smaller than the sum of its proper divisors (424758954510240).

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

136771050430560 is a wasteful number, since it uses less digits than its factorization.

136771050430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28903 (or 28895 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 136771050430560 in words is "one hundred thirty-six trillion, seven hundred seventy-one billion, fifty million, four hundred thirty thousand, five hundred sixty".