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13644643552 = 253119969119
BaseRepresentation
bin11001011010100100…
…01011110011100000
31022012220210201011121
430231102023303200
5210421012043202
610133540022024
7662061361621
oct145522136340
938186721147
1013644643552
115872055721
122789691914
131395acb8a7
14936213a48
1554cd3c537
hex32d48bce0

13644643552 has 48 divisors (see below), whose sum is σ = 27869184000. Its totient is φ = 6568974720.

The previous prime is 13644643543. The next prime is 13644643567. The reversal of 13644643552 is 25534644631.

It is a happy number.

It is a super-2 number, since 2×136446435522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13644643499 and 13644643508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162849 + ... + 231967.

It is an arithmetic number, because the mean of its divisors is an integer number (580608000).

Almost surely, 213644643552 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 13644643552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592000).

13644643552 is an abundant number, since it is smaller than the sum of its proper divisors (14224540448).

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

13644643552 is a wasteful number, since it uses less digits than its factorization.

13644643552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69359 (or 69351 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 43.

The spelling of 13644643552 in words is "thirteen billion, six hundred forty-four million, six hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 199 248 398 496 796 992 1592 3184 6169 6368 12338 24676 49352 69119 98704 138238 197408 276476 552952 1105904 2142689 2211808 4285378 8570756 13754681 17141512 27509362 34283024 55018724 68566048 110037448 220074896 426395111 440149792 852790222 1705580444 3411160888 6822321776 13644643552