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53125852136 = 237210113110243
BaseRepresentation
bin110001011110100011…
…000010101111101000
312002010102122220122012
4301132203002233220
51332300204232021
640223343215052
73560336202200
oct613643025750
9162112586565
1053125852136
1120592182025
12a3678a7488
135018549a86
1427dd937400
1515adee835b
hexc5e8c2be8

53125852136 has 96 divisors (see below), whose sum is σ = 117926059680. Its totient is φ = 22368528000.

The previous prime is 53125852133. The next prime is 53125852181. The reversal of 53125852136 is 63125852135.

It is a happy number.

53125852136 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-2 number, since 2×531258521362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53125852093 and 53125852102.

It is not an unprimeable number, because it can be changed into a prime (53125852133) 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, 5181431 + ... + 5191673.

It is an arithmetic number, because the mean of its divisors is an integer number (1228396455).

Almost surely, 253125852136 is an apocalyptic number.

53125852136 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 53125852136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58963029840).

53125852136 is an abundant number, since it is smaller than the sum of its proper divisors (64800207544).

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

53125852136 is a wasteful number, since it uses less digits than its factorization.

53125852136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495 (or 10484 counting only the distinct ones).

The product of its digits is 216000, while the sum is 41.

Subtracting 53125852136 from its reverse (63125852135), we obtain a palindrome (9999999999).

The spelling of 53125852136 in words is "fifty-three billion, one hundred twenty-five million, eight hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 131 196 202 262 392 404 524 707 808 917 1048 1414 1834 2828 3668 4949 5656 6419 7336 9898 10243 12838 13231 19796 20486 25676 26462 39592 40972 51352 52924 71701 81944 92617 105848 143402 185234 286804 370468 501907 573608 648319 740936 1003814 1034543 1296638 1341833 2007628 2069086 2593276 2683666 4015256 4138172 5186552 5367332 7241801 8276344 9392831 10734664 14483602 18785662 28967204 37571324 50692607 57934408 65749817 75142648 101385214 131499634 135525133 202770428 262999268 271050266 405540856 525998536 542100532 948675931 1084201064 1897351862 3794703724 6640731517 7589407448 13281463034 26562926068 53125852136