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56156162580 = 223257313142391
BaseRepresentation
bin110100010011001010…
…110000101000010100
312100221121201122002100
4310103022300220110
51410001434200310
641444153242100
74025413335420
oct642312605024
9170847648070
1056156162580
11218a7765121
12aa72703330
1353ac2b468b
142a0a18db80
1516da077ec0
hexd132b0a14

56156162580 has 144 divisors (see below), whose sum is σ = 195298032384. Its totient is φ = 12794595840.

The previous prime is 56156162549. The next prime is 56156162597. The reversal of 56156162580 is 8526165165.

56156162580 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 6 + 1 + 62 + 580 = 666.

It is a super-2 number, since 2×561561625802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323185 + ... + 465575.

It is an arithmetic number, because the mean of its divisors is an integer number (1356236336).

Almost surely, 256156162580 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 56156162580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97649016192).

56156162580 is an abundant number, since it is smaller than the sum of its proper divisors (139141869804).

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

56156162580 is a wasteful number, since it uses less digits than its factorization.

56156162580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142726 (or 142721 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 56156162580 in words is "fifty-six billion, one hundred fifty-six million, one hundred sixty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 313 315 420 626 630 939 1252 1260 1565 1878 2191 2817 3130 3756 4382 4695 5634 6260 6573 8764 9390 10955 11268 13146 14085 18780 19719 21910 26292 28170 32865 39438 43820 56340 65730 78876 98595 131460 142391 197190 284782 394380 427173 569564 711955 854346 996737 1281519 1423910 1708692 1993474 2135865 2563038 2847820 2990211 3986948 4271730 4983685 5126076 5980422 6407595 8543460 8970633 9967370 11960844 12815190 14951055 17941266 19934740 25630380 29902110 35882532 44568383 44853165 59804220 89136766 89706330 133705149 178273532 179412660 222841915 267410298 311978681 401115447 445683830 534820596 623957362 668525745 802230894 891367660 935936043 1247914724 1337051490 1559893405 1604461788 1871872086 2005577235 2674102980 2807808129 3119786810 3743744172 4011154470 4679680215 5615616258 6239573620 8022308940 9359360430 11231232516 14039040645 18718720860 28078081290 56156162580