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56438052216 = 23372133691657
BaseRepresentation
bin110100100011111110…
…000101010101111000
312101200021011002222020
4310203332011111320
51411041120132331
641532143154440
74035405346200
oct644376052570
9171607132866
1056438052216
1121a31899a67
12ab30ba5a20
135425811190
142a357ab400
151704baac96
hexd23f85578

56438052216 has 96 divisors (see below), whose sum is σ = 176756585040. Its totient is φ = 14884756992.

The previous prime is 56438052179. The next prime is 56438052217. The reversal of 56438052216 is 61225083465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56438052217) 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, 1830541 + ... + 1861116.

Almost surely, 256438052216 is an apocalyptic number.

56438052216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56438052216 is an abundant number, since it is smaller than the sum of its proper divisors (120318532824).

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

56438052216 is a wasteful number, since it uses less digits than its factorization.

56438052216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691693 (or 3691682 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 56438052216 in words is "fifty-six billion, four hundred thirty-eight million, fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 15288 3691657 7383314 11074971 14766628 22149942 25841599 29533256 44299884 47991541 51683198 77524797 88599768 95983082 103366396 143974623 155049594 180891193 191966164 206732792 287949246 310099188 335940787 361782386 383932328 542673579 575898492 620198376 671881574 723564772 1007822361 1085347158 1151796984 1343763148 1447129544 2015644722 2170694316 2351585509 2687526296 4031289444 4341388632 4703171018 7054756527 8062578888 9406342036 14109513054 18812684072 28219026108 56438052216