Search a number
-
+
56182678752 = 2531783414767
BaseRepresentation
bin110100010100101111…
…111010010011100000
312101000110121210102210
4310110233322103200
51410030231210002
641450541442120
74026154614144
oct642457722340
9171013553383
1056182678752
1121910726112
12aa7b570340
1353b4939a15
142a0d8d3224
1516dc56496c
hexd14bfa4e0

56182678752 has 96 divisors (see below), whose sum is σ = 158036562432. Its totient is φ = 17413535744.

The previous prime is 56182678709. The next prime is 56182678753. The reversal of 56182678752 is 25787628165.

56182678752 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 junction number, because it is equal to n+sod(n) for n = 56182678692 and 56182678701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56182678753) 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, 71928 + ... + 342839.

It is an arithmetic number, because the mean of its divisors is an integer number (1646214192).

Almost surely, 256182678752 is an apocalyptic number.

It is an amenable number.

56182678752 is an abundant number, since it is smaller than the sum of its proper divisors (101853883680).

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

56182678752 is a wasteful number, since it uses less digits than its factorization.

56182678752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414880 (or 414872 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 57.

The spelling of 56182678752 in words is "fifty-six billion, one hundred eighty-two million, six hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 332 408 498 544 664 816 996 1328 1411 1632 1992 2656 2822 3984 4233 5644 7968 8466 11288 16932 22576 33864 45152 67728 135456 414767 829534 1244301 1659068 2488602 3318136 4977204 6636272 7051039 9954408 13272544 14102078 19908816 21153117 28204156 34425661 39817632 42306234 56408312 68851322 84612468 103276983 112816624 137702644 169224936 206553966 225633248 275405288 338449872 413107932 550810576 585236237 676899744 826215864 1101621152 1170472474 1652431728 1755708711 2340944948 3304863456 3511417422 4681889896 7022834844 9363779792 14045669688 18727559584 28091339376 56182678752