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56220042456 = 23322335599539
BaseRepresentation
bin110100010110111110…
…011100010011011000
312101010001221001210200
4310112332130103120
51410114312324311
641454354342200
74030120322214
oct642676342330
9171101831720
1056220042456
112192a826006
12aa8bb8a960
1353bc5bc616
142a1485b944
1516e0995556
hexd16f9c4d8

56220042456 has 96 divisors (see below), whose sum is σ = 158944032000. Its totient is φ = 17918315712.

The previous prime is 56220042451. The next prime is 56220042469. The reversal of 56220042456 is 65424002265.

56220042456 is a `hidden beast` number, since 5 + 6 + 220 + 0 + 424 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56220042456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56220042451) 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 23 ways as a sum of consecutive naturals, for example, 5888935 + ... + 5898473.

It is an arithmetic number, because the mean of its divisors is an integer number (1655667000).

Almost surely, 256220042456 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 56220042456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79472016000).

56220042456 is an abundant number, since it is smaller than the sum of its proper divisors (102723989544).

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

56220042456 is a wasteful number, since it uses less digits than its factorization.

56220042456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13133 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 56220042456 in words is "fifty-six billion, two hundred twenty million, forty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 3559 7118 9539 10677 14236 19078 21354 28472 28617 32031 38156 42708 57234 64062 76312 81857 85416 85851 114468 128124 163714 171702 219397 228936 245571 256248 327428 343404 438794 491142 654856 658191 686808 736713 877588 982284 1316382 1473426 1755176 1964568 1974573 2632764 2946852 3949146 5265528 5893704 7898292 15796584 33949301 67898602 101847903 135797204 203695806 271594408 305543709 407391612 611087418 780833923 814783224 1222174836 1561667846 2342501769 2444349672 3123335692 4685003538 6246671384 7027505307 9370007076 14055010614 18740014152 28110021228 56220042456