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13149023552 = 267531015483
BaseRepresentation
bin11000011111011111…
…00010110101000000
31020221101012121100022
430033233202311000
5203412122223202
610012433113012
7643562566430
oct141757426500
936841177308
1013149023552
115638310015
12266b6b8768
13131721b312
148ca47c2c0
1551e58bea2
hex30fbe2d40

13149023552 has 112 divisors (see below), whose sum is σ = 30689165952. Its totient is φ = 5473228800.

The previous prime is 13149023521. The next prime is 13149023579. The reversal of 13149023552 is 25532094131.

13149023552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2395403 + ... + 2400885.

Almost surely, 213149023552 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 13149023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344582976).

13149023552 is an abundant number, since it is smaller than the sum of its proper divisors (17540142400).

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

13149023552 is a wasteful number, since it uses less digits than its factorization.

13149023552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 13149023552 in words is "thirteen billion, one hundred forty-nine million, twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 101 106 112 202 212 224 371 404 424 448 707 742 808 848 1414 1484 1616 1696 2828 2968 3232 3392 5353 5483 5656 5936 6464 10706 10966 11312 11872 21412 21932 22624 23744 37471 38381 42824 43864 45248 74942 76762 85648 87728 149884 153524 171296 175456 290599 299768 307048 342592 350912 553783 581198 599536 614096 1107566 1162396 1199072 1228192 2034193 2215132 2324792 2398144 2456384 3876481 4068386 4430264 4649584 7752962 8136772 8860528 9299168 15505924 16273544 17721056 18598336 29350499 31011848 32547088 35442112 58700998 62023696 65094176 117401996 124047392 130188352 205453493 234803992 248094784 410906986 469607984 821813972 939215968 1643627944 1878431936 3287255888 6574511776 13149023552