Search a number
-
+
56740173184 = 272920277541
BaseRepresentation
bin110100110101111110…
…100101010110000000
312102110022122110000201
4310311332211112000
51412200441020214
642022134454544
74046034341302
oct646576452600
9172408573021
1056740173184
1122077391a12
12abb6204454
1354732a2496
142a63973972
151721488274
hexd35fa5580

56740173184 has 64 divisors (see below), whose sum is σ = 117008096400. Its totient is φ = 27374663680.

The previous prime is 56740173181. The next prime is 56740173197. The reversal of 56740173184 is 48137104765.

56740173184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56740173181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7520454 + ... + 7527994.

Almost surely, 256740173184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56740173184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58504048200).

56740173184 is an abundant number, since it is smaller than the sum of its proper divisors (60267923216).

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

56740173184 is a wasteful number, since it uses less digits than its factorization.

56740173184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9599 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 56740173184 in words is "fifty-six billion, seven hundred forty million, one hundred seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 2027 3712 4054 7541 8108 15082 16216 30164 32432 58783 60328 64864 117566 120656 129728 218689 235132 241312 259456 437378 470264 482624 874756 940528 965248 1749512 1881056 3499024 3762112 6998048 7524224 13996096 15285607 27992192 30571214 61142428 122284856 244569712 443282603 489139424 886565206 978278848 1773130412 1956557696 3546260824 7092521648 14185043296 28370086592 56740173184