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13644645456 = 2431397225427
BaseRepresentation
bin11001011010100100…
…01100010001010000
31022012220210210210010
430231102030101100
5210421012123311
610133540034520
7662061400311
oct145522142120
938186723703
1013644645456
1158720570a2
122789692a40
131395acc710
14936214608
1554cd3cda6
hex32d48c450

13644645456 has 80 divisors (see below), whose sum is σ = 38351614784. Its totient is φ = 4155052032.

The previous prime is 13644645439. The next prime is 13644645467. The reversal of 13644645456 is 65454644631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52186 + ... + 173241.

Almost surely, 213644645456 is an apocalyptic number.

13644645456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13644645456 is an abundant number, since it is smaller than the sum of its proper divisors (24706969328).

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

13644645456 is a wasteful number, since it uses less digits than its factorization.

13644645456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225548 (or 225542 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 13644645456 in words is "thirteen billion, six hundred forty-four million, six hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 776 1164 1261 1552 2328 2522 3783 4656 5044 7566 10088 15132 20176 30264 60528 225427 450854 676281 901708 1352562 1803416 2705124 2930551 3606832 5410248 5861102 8791653 10820496 11722204 17583306 21866419 23444408 35166612 43732838 46888816 65599257 70333224 87465676 131198514 140666448 174931352 262397028 284263447 349862704 524794056 568526894 852790341 1049588112 1137053788 1705580682 2274107576 3411161364 4548215152 6822322728 13644645456