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13644052056 = 2332675035623
BaseRepresentation
bin11001011010011111…
…11011011001011000
31022012212200122210100
430231033323121120
5210420334131211
610133515215400
7662053346265
oct145517733130
938185618710
1013644052056
115871791288
122789447560
1313959525ab
149360dc26c
1554cc72156
hex32d3fb658

13644052056 has 96 divisors (see below), whose sum is σ = 37585416960. Its totient is φ = 4470434496.

The previous prime is 13644052007. The next prime is 13644052061. The reversal of 13644052056 is 65025044631.

13644052056 is a `hidden beast` number, since 1 + 3 + 6 + 440 + 5 + 205 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13644052056.

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, 2423661 + ... + 2429283.

It is an arithmetic number, because the mean of its divisors is an integer number (391514760).

Almost surely, 213644052056 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 13644052056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792708480).

13644052056 is an abundant number, since it is smaller than the sum of its proper divisors (23941364904).

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

13644052056 is a wasteful number, since it uses less digits than its factorization.

13644052056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13644052056 its reverse (65025044631), we get a palindrome (78669096687).

The spelling of 13644052056 in words is "thirteen billion, six hundred forty-four million, fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 503 536 603 804 1006 1206 1509 1608 2012 2412 3018 4024 4527 4824 5623 6036 9054 11246 12072 16869 18108 22492 33701 33738 36216 44984 50607 67402 67476 101103 101214 134804 134952 202206 202428 269608 303309 376741 404412 404856 606618 753482 808824 1130223 1213236 1506964 2260446 2426472 2828369 3013928 3390669 4520892 5656738 6781338 8485107 9041784 11313476 13562676 16970214 22626952 25455321 27125352 33940428 50910642 67880856 101821284 189500723 203642568 379001446 568502169 758002892 1137004338 1516005784 1705506507 2274008676 3411013014 4548017352 6822026028 13644052056