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20056542156 = 223272319917389
BaseRepresentation
bin10010101011011101…
…101000101111001100
31220202202220220111200
4102223131220233030
5312033433322111
613114105145500
71310006536560
oct225335505714
956682826450
1020056542156
118562438a82
123a78a8b290
131b78313a31
14d83a036a0
157c5bd9256
hex4ab768bcc

20056542156 has 144 divisors (see below), whose sum is σ = 60767616000. Its totient is φ = 5453433216.

The previous prime is 20056542151. The next prime is 20056542203. The reversal of 20056542156 is 65124565002.

20056542156 is a `hidden beast` number, since 2 + 0 + 0 + 565 + 42 + 1 + 56 = 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 20056542156.

It is not an unprimeable number, because it can be changed into a prime (20056542151) 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 47 ways as a sum of consecutive naturals, for example, 1144710 + ... + 1162098.

Almost surely, 220056542156 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 20056542156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30383808000).

20056542156 is an abundant number, since it is smaller than the sum of its proper divisors (40711073844).

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

20056542156 is a wasteful number, since it uses less digits than its factorization.

20056542156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17628 (or 17623 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 20056542156 in words is "twenty billion, fifty-six million, five hundred forty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 199 207 252 276 322 398 414 483 597 644 796 828 966 1194 1393 1449 1791 1932 2388 2786 2898 3582 4179 4577 5572 5796 7164 8358 9154 12537 13731 16716 17389 18308 25074 27462 32039 34778 41193 50148 52167 54924 64078 69556 82386 96117 104334 121723 128156 156501 164772 192234 208668 243446 288351 313002 365169 384468 399947 486892 576702 626004 730338 799894 1095507 1153404 1199841 1460676 1599788 2191014 2399682 2799629 3460411 3599523 4382028 4799364 5599258 6920822 7199046 8398887 10381233 11198516 13841644 14398092 16797774 20762466 24222877 25196661 31143699 33595548 41524932 48445754 50393322 62287398 72668631 79589453 96891508 100786644 124574796 145337262 159178906 218005893 238768359 290674524 318357812 436011786 477536718 557126171 716305077 872023572 955073436 1114252342 1432610154 1671378513 2228504684 2865220308 3342757026 5014135539 6685514052 10028271078 20056542156