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5052777768 = 23321912912861
BaseRepresentation
bin1001011010010101…
…10100010100101000
3111001010200201001100
410231022310110220
540322002342033
62153214321400
7236132621343
oct45512642450
914033621040
105052777768
1121631857a5
12b901b9260
13626a7a43c
1435d0bd45a
151e88ce513
hex12d2b4528

5052777768 has 96 divisors (see below), whose sum is σ = 14421045600. Its totient is φ = 1593820800.

The previous prime is 5052777767. The next prime is 5052777797. The reversal of 5052777768 is 8677772505.

5052777768 is a `hidden beast` number, since 50 + 527 + 7 + 7 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (5052777767) 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, 1764658 + ... + 1767518.

It is an arithmetic number, because the mean of its divisors is an integer number (150219225).

Almost surely, 25052777768 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 5052777768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210522800).

5052777768 is an abundant number, since it is smaller than the sum of its proper divisors (9368267832).

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

5052777768 is a wasteful number, since it uses less digits than its factorization.

5052777768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The square root of 5052777768 is about 71082.8936383431. The cubic root of 5052777768 is about 1715.9714814241.

The spelling of 5052777768 in words is "five billion, fifty-two million, seven hundred seventy-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1291 1368 2582 2861 3873 5164 5722 7746 8583 10328 11444 11619 15492 17166 22888 23238 24529 25749 30984 34332 46476 49058 51498 54359 68664 73587 92952 98116 102996 108718 147174 163077 196232 205992 217436 220761 294348 326154 434872 441522 489231 588696 652308 883044 978462 1304616 1766088 1956924 3693551 3913848 7387102 11080653 14774204 22161306 29548408 33241959 44322612 66483918 70177469 88645224 132967836 140354938 210532407 265935672 280709876 421064814 561419752 631597221 842129628 1263194442 1684259256 2526388884 5052777768