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53214112134 = 23341613491129
BaseRepresentation
bin110001100011110011…
…101110100110000110
312002100120201222121000
4301203303232212012
51332440303042014
640240215034130
73562460330031
oct614363564606
9162316658530
1053214112134
1120627a85077
12a39136b946
13503090ca21
14280b550018
1515b6b2e509
hexc63cee986

53214112134 has 128 divisors (see below), whose sum is σ = 123585840000. Its totient is φ = 16957900800.

The previous prime is 53214112111. The next prime is 53214112141. The reversal of 53214112134 is 43121141235.

53214112134 is a `hidden beast` number, since 5 + 32 + 1 + 411 + 213 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53214112098 and 53214112107.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 47133282 + ... + 47134410.

It is an arithmetic number, because the mean of its divisors is an integer number (965514375).

Almost surely, 253214112134 is an apocalyptic number.

53214112134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53214112134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61792920000).

53214112134 is an abundant number, since it is smaller than the sum of its proper divisors (70371727866).

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

53214112134 is a wasteful number, since it uses less digits than its factorization.

53214112134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1585 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 53214112134 its reverse (43121141235), we get a palindrome (96335253369).

The spelling of 53214112134 in words is "fifty-three billion, two hundred fourteen million, one hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 61 82 122 123 183 246 349 366 369 549 698 738 1047 1098 1107 1129 1647 2094 2214 2258 2501 3141 3294 3387 5002 6282 6774 7503 9423 10161 14309 15006 18846 20322 21289 22509 28618 30483 42578 42927 45018 46289 60966 63867 67527 68869 85854 92578 127734 128781 135054 137738 138867 191601 206607 257562 277734 383202 386343 394021 413214 416601 574803 619821 772686 788042 833202 872849 1149606 1182063 1239642 1249803 1745698 1859463 2364126 2499606 2618547 2823629 3546189 3718926 5237094 5647258 7092378 7855641 8470887 10638567 15711282 16154861 16941774 21277134 23566923 24035281 25412661 32309722 47133846 48070562 48464583 50825322 72105843 76237983 96929166 144211686 145393749 152475966 216317529 290787498 432635058 436181247 648952587 872362494 985446521 1297905174 1970893042 2956339563 5912679126 8869018689 17738037378 26607056067 53214112134