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13672962264 = 233131012691613
BaseRepresentation
bin11001011101111100…
…01101100011011000
31022021220002110010210
430232332031203120
5211000234243024
610140431011120
7662554155513
oct145676154330
938256073123
1013672962264
115887037a15
122797069aa0
13139b935520
14939ca5d7a
15550583129
hex32ef8d8d8

13672962264 has 128 divisors (see below), whose sum is σ = 37337630400. Its totient is φ = 4147353600.

The previous prime is 13672962227. The next prime is 13672962293. The reversal of 13672962264 is 46226927631.

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 31 ways as a sum of consecutive naturals, for example, 8475922 + ... + 8477534.

Almost surely, 213672962264 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 13672962264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668815200).

13672962264 is an abundant number, since it is smaller than the sum of its proper divisors (23664668136).

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

13672962264 is a wasteful number, since it uses less digits than its factorization.

13672962264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 2001 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 13672962264 in words is "thirteen billion, six hundred seventy-two million, nine hundred sixty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 269 303 312 404 538 606 807 808 1076 1212 1313 1613 1614 2152 2424 2626 3226 3228 3497 3939 4839 5252 6452 6456 6994 7878 9678 10491 10504 12904 13988 15756 19356 20969 20982 27169 27976 31512 38712 41938 41964 54338 62907 81507 83876 83928 108676 125814 162913 163014 167752 217352 251628 325826 326028 353197 433897 488739 503256 651652 652056 706394 867794 977478 1059591 1301691 1303304 1412788 1735588 1954956 2117869 2119182 2603382 2825576 3471176 3909912 4235738 4238364 5206764 5640661 6353607 8471476 8476728 10413528 11281322 12707214 16921983 16942952 22562644 25414428 33843966 43823597 45125288 50828856 67687932 87647194 131470791 135375864 175294388 262941582 350588776 525883164 569706761 1051766328 1139413522 1709120283 2278827044 3418240566 4557654088 6836481132 13672962264