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56787843204 = 223814712
BaseRepresentation
bin110100111000110100…
…011011100010000100
312102120122100100000000
4310320310123202010
51412300141440304
642031000321300
74050153463041
oct647064334204
9172518310000
1056787843204
11220a1291124
12b00a173230
1354801231b1
142a6a0221c8
151725752939
hexd38d1b884

56787843204 has 81 divisors (see below), whose sum is σ = 149161916631. Its totient is φ = 18916412760.

The previous prime is 56787843187. The next prime is 56787843257. The reversal of 56787843204 is 40234878765.

The square root of 56787843204 is 238302.

It is a perfect power (a square), and thus also a powerful number.

56787843204 is a `hidden beast` number, since 567 + 8 + 78 + 4 + 3 + 2 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-3 number, since 3×567878432043 (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38604189 + ... + 38605659.

Almost surely, 256787843204 is an apocalyptic number.

56787843204 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

56787843204 is the 238302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56787843204

56787843204 is an abundant number, since it is smaller than the sum of its proper divisors (92374073427).

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

56787843204 is an frugal number, since it uses more digits than its factorization.

With its predecessor (56787843203) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1476).

56787843204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 56787843204 in words is "fifty-six billion, seven hundred eighty-seven million, eight hundred forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1471 2187 2916 2942 4374 4413 5884 6561 8748 8826 13122 13239 17652 26244 26478 39717 52956 79434 119151 158868 238302 357453 476604 714906 1072359 1429812 2144718 2163841 3217077 4289436 4327682 6434154 6491523 8655364 9651231 12868308 12983046 19302462 19474569 25966092 38604924 38949138 58423707 77898276 116847414 175271121 233694828 350542242 525813363 701084484 1051626726 1577440089 2103253452 3154880178 4732320267 6309760356 9464640534 14196960801 18929281068 28393921602 56787843204