Search a number
-
+
51798346056 = 233229109227593
BaseRepresentation
bin110000001111011011…
…000000100101001000
311221200220201121122100
4300033123000211020
51322040334033211
635443522153400
73512416451112
oct601733004510
9157626647570
1051798346056
111aa708a8066
12a0571b2860
134b66501012
1427154d63b2
1515326c3156
hexc0f6c0948

51798346056 has 96 divisors (see below), whose sum is σ = 146456739000. Its totient is φ = 16517716992.

The previous prime is 51798346051. The next prime is 51798346091. The reversal of 51798346056 is 65064389715.

51798346056 is a `hidden beast` number, since 5 + 179 + 8 + 3 + 460 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51315840900 + 482505156 = 226530^2 + 21966^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 51798345993 and 51798346011.

It is not an unprimeable number, because it can be changed into a prime (51798346051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113796 + ... + 341388.

Almost surely, 251798346056 is an apocalyptic number.

It is a pronic number, being equal to 227592×227593.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51798346056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73228369500).

51798346056 is an abundant number, since it is smaller than the sum of its proper divisors (94658392944).

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

51798346056 is a wasteful number, since it uses less digits than its factorization.

51798346056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227743 (or 227736 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 51798346056 in words is "fifty-one billion, seven hundred ninety-eight million, three hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 109 116 174 218 232 261 327 348 436 522 654 696 872 981 1044 1308 1962 2088 2616 3161 3924 6322 7848 9483 12644 18966 25288 28449 37932 56898 75864 113796 227592 227593 455186 682779 910372 1365558 1820744 2048337 2731116 4096674 5462232 6600197 8193348 13200394 16386696 19800591 24807637 26400788 39601182 49615274 52801576 59401773 74422911 79202364 99230548 118803546 148845822 158404728 198461096 223268733 237607092 297691644 446537466 475214184 595383288 719421473 893074932 1438842946 1786149864 2158264419 2877685892 4316528838 5755371784 6474793257 8633057676 12949586514 17266115352 25899173028 51798346056