Search a number
-
+
56636751072 = 25311173310019
BaseRepresentation
bin110100101111110100…
…000011110011100000
312102012010001001120010
4310233310003303200
51411443002013242
642004002044520
74043340304146
oct645764036340
9172163031503
1056636751072
1122023a733a0
12ab87649740
135457a31175
142a53d31596
15171735989c
hexd2fd03ce0

56636751072 has 96 divisors (see below), whose sum is σ = 163125083520. Its totient is φ = 17063390720.

The previous prime is 56636751071. The next prime is 56636751091. The reversal of 56636751072 is 27015763665.

56636751072 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 (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56636751071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27679 + ... + 337697.

It is an arithmetic number, because the mean of its divisors is an integer number (1699219620).

Almost surely, 256636751072 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 56636751072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81562541760).

56636751072 is an abundant number, since it is smaller than the sum of its proper divisors (106488332448).

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

56636751072 is a wasteful number, since it uses less digits than its factorization.

56636751072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310216 (or 310208 counting only the distinct ones).

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

It can be divided in two parts, 56636 and 751072, that added together give a palindrome (807708).

The spelling of 56636751072 in words is "fifty-six billion, six hundred thirty-six million, seven hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 173 176 264 346 352 519 528 692 1038 1056 1384 1903 2076 2768 3806 4152 5536 5709 7612 8304 11418 15224 16608 22836 30448 45672 60896 91344 182688 310019 620038 930057 1240076 1860114 2480152 3410209 3720228 4960304 6820418 7440456 9920608 10230627 13640836 14880912 20461254 27281672 29761824 40922508 53633287 54563344 81845016 107266574 109126688 160899861 163690032 214533148 321799722 327380064 429066296 589966157 643599444 858132592 1179932314 1287198888 1716265184 1769898471 2359864628 2574397776 3539796942 4719729256 5148795552 7079593884 9439458512 14159187768 18878917024 28318375536 56636751072