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56748128868 = 22328359332027
BaseRepresentation
bin110100110110011100…
…111011101001100100
312102110212121122011200
4310312130323221210
51412210010110433
642023021202500
74046162064564
oct646634735144
9172425548150
1056748128868
1122080926162
12abb8a00430
135474b296a2
142a64a44da4
15172200a613
hexd3673ba64

56748128868 has 72 divisors (see below), whose sum is σ = 145424287008. Its totient is φ = 18656041728.

The previous prime is 56748128851. The next prime is 56748128869. The reversal of 56748128868 is 86882184765.

56748128868 is a `hidden beast` number, since 56 + 7 + 481 + 28 + 86 + 8 = 666.

It is a super-2 number, since 2×567481288682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56748128869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755871 + ... + 1787897.

It is an arithmetic number, because the mean of its divisors is an integer number (2019781764).

Almost surely, 256748128868 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 56748128868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72712143504).

56748128868 is an abundant number, since it is smaller than the sum of its proper divisors (88676158140).

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

56748128868 is a wasteful number, since it uses less digits than its factorization.

56748128868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32713 (or 32708 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 56748128868 in words is "fifty-six billion, seven hundred forty-eight million, one hundred twenty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 593 747 996 1186 1494 1779 2372 2988 3558 5337 7116 10674 21348 32027 49219 64054 96081 98438 128108 147657 192162 196876 288243 295314 384324 442971 576486 590628 885942 1152972 1771884 2658241 5316482 7974723 10632964 15949446 18992011 23924169 31898892 37984022 47848338 56976033 75968044 95696676 113952066 170928099 227904132 341856198 683712396 1576336913 3152673826 4729010739 6305347652 9458021478 14187032217 18916042956 28374064434 56748128868