Search a number
-
+
56445336012632 = 2371762743944987
BaseRepresentation
bin11001101010110001101000…
…01100111100011101011000
321101212010021111222020202212
430311120310030330131120
524344300022004401012
6320014343540414252
714614020021531260
oct1465306414743530
9241763244866685
1056445336012632
1116a9237271a176
1263b75989a7388
132565a06acb988
14dd1d7c6d47a0
1567d4156a3b22
hex33563433c758

56445336012632 has 64 divisors (see below), whose sum is σ = 128071426475520. Its totient is φ = 22767479659008.

The previous prime is 56445336012589. The next prime is 56445336012701. The reversal of 56445336012632 is 23621063354465.

It is a happy number.

56445336012632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×564453360126323 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59258843 + ... + 60203829.

It is an arithmetic number, because the mean of its divisors is an integer number (2001116038680).

Almost surely, 256445336012632 is an apocalyptic number.

It is an amenable number.

56445336012632 is an abundant number, since it is smaller than the sum of its proper divisors (71626090462888).

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

56445336012632 is a wasteful number, since it uses less digits than its factorization.

56445336012632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007760 (or 1007756 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 50.

The spelling of 56445336012632 in words is "fifty-six trillion, four hundred forty-five billion, three hundred thirty-six million, twelve thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 62743 125486 250972 439201 501944 878402 944987 1066631 1756804 1889974 2133262 3513608 3779948 4266524 6614909 7466417 7559896 8533048 13229818 14932834 16064779 26459636 29865668 32129558 52919272 59731336 64259116 112453453 128518232 224906906 449813812 899627624 59291319341 118582638682 237165277364 415039235387 474330554728 830078470774 1007952428797 1660156941548 2015904857594 3320313883096 4031809715188 7055667001579 8063619430376 14111334003158 28222668006316 56445336012632