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52181251696 = 2472417692111
BaseRepresentation
bin110000100110001111…
…101011011001110000
311222200121020020102201
4300212033223121300
51323331400023241
635545521152544
73525046215100
oct604617533160
9158617206381
1052181251696
1120147a57802
12a14348b754
134bc79388c2
1427502cb200
15155610b931
hexc263eb670

52181251696 has 120 divisors (see below), whose sum is σ = 120689775360. Its totient is φ = 21779251200.

The previous prime is 52181251687. The next prime is 52181251729. The reversal of 52181251696 is 69615218125.

52181251696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×521812516963 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24717681 + ... + 24719791.

It is an arithmetic number, because the mean of its divisors is an integer number (1005748128).

Almost surely, 252181251696 is an apocalyptic number.

52181251696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52181251696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60344887680).

52181251696 is an abundant number, since it is smaller than the sum of its proper divisors (68508523664).

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

52181251696 is a wasteful number, since it uses less digits than its factorization.

52181251696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2930 counting only the distinct ones).

The product of its digits is 259200, while the sum is 46.

The spelling of 52181251696 in words is "fifty-two billion, one hundred eighty-one million, two hundred fifty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 769 784 1148 1538 2009 2111 2296 3076 4018 4222 4592 5383 6152 8036 8444 10766 12304 14777 16072 16888 21532 29554 31529 32144 33776 37681 43064 59108 63058 75362 86128 86551 103439 118216 126116 150724 173102 206878 220703 236432 252232 301448 346204 413756 441406 504464 602896 605857 692408 827512 882812 1211714 1384816 1544921 1623359 1655024 1765624 2423428 3089842 3246718 3531248 4240999 4846856 6179684 6493436 8481998 9693712 11363513 12359368 12986872 16963996 22727026 24718736 25973744 33927992 45454052 66557719 67855984 79544591 90908104 133115438 159089182 181816208 266230876 318178364 465904033 532461752 636356728 931808066 1064923504 1272713456 1863616132 3261328231 3727232264 6522656462 7454464528 13045312924 26090625848 52181251696