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56261880558 = 23413195113693
BaseRepresentation
bin110100011001011110…
…000010101011101110
312101012222122122220000
4310121132002223232
51410211020134213
641502451205130
74031136044202
oct643136025356
9171188578800
1056261880558
1121951401654
12aaa1ba67a6
1353c817a9b0
142a1a22cb02
1516e44abc73
hexd19782aee

56261880558 has 80 divisors (see below), whose sum is σ = 135845356416. Its totient is φ = 17301211200.

The previous prime is 56261880553. The next prime is 56261880569. The reversal of 56261880558 is 85508816265.

56261880558 is a `hidden beast` number, since 5 + 6 + 2 + 6 + 1 + 8 + 80 + 558 = 666.

It is a super-3 number, since 3×562618805583 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56261880551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4101960 + ... + 4115652.

Almost surely, 256261880558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56261880558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67922678208).

56261880558 is an abundant number, since it is smaller than the sum of its proper divisors (79583475858).

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

56261880558 is a wasteful number, since it uses less digits than its factorization.

56261880558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15662 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 56261880558 in words is "fifty-six billion, two hundred sixty-one million, eight hundred eighty thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1951 2106 3902 5853 11706 13693 17559 25363 27386 35118 41079 50726 52677 76089 82158 105354 123237 152178 158031 178009 228267 246474 316062 356018 369711 456534 534027 684801 739422 1068054 1109133 1369602 1602081 2054403 2218266 3204162 4108806 4806243 9612486 14418729 26715043 28837458 53430086 80145129 160290258 240435387 347295559 480870774 694591118 721306161 1041886677 1442612322 2083773354 2163918483 3125660031 4327836966 6251320062 9376980093 18753960186 28130940279 56261880558