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13253593392 = 24321310368737
BaseRepresentation
bin11000101011111100…
…11100100100110000
31021012122222022012100
430111332130210300
5204120404442032
610031050300400
7646302453654
oct142576344460
937178868170
1013253593392
115691342976
12269a727700
131332aa1b70
148da2dca64
1552884597c
hex315f9c930

13253593392 has 120 divisors (see below), whose sum is σ = 40333258784. Its totient is φ = 4038377472.

The previous prime is 13253593387. The next prime is 13253593417. The reversal of 13253593392 is 29339535231.

13253593392 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 593 + 3 + 9 + 2 = 666.

13253593392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 158448 + ... + 227184.

Almost surely, 213253593392 is an apocalyptic number.

13253593392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13253593392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166629392).

13253593392 is an abundant number, since it is smaller than the sum of its proper divisors (27079665392).

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

13253593392 is a wasteful number, since it uses less digits than its factorization.

13253593392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68867 (or 68858 counting only the distinct ones).

The product of its digits is 656100, while the sum is 45.

The spelling of 13253593392 in words is "thirteen billion, two hundred fifty-three million, five hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 103 104 117 144 156 206 208 234 309 312 412 468 618 624 824 927 936 1236 1339 1648 1854 1872 2472 2678 3708 4017 4944 5356 7416 8034 10712 12051 14832 16068 21424 24102 32136 48204 64272 68737 96408 137474 192816 206211 274948 412422 549896 618633 824844 893581 1099792 1237266 1649688 1787162 2474532 2680743 3299376 3574324 4949064 5361486 7079911 7148648 8042229 9898128 10722972 14159822 14297296 16084458 21239733 21445944 28319644 32168916 42479466 42891888 56639288 63719199 64337832 84958932 92038843 113278576 127438398 128675664 169917864 184077686 254876796 276116529 339835728 368155372 509753592 552233058 736310744 828349587 1019507184 1104466116 1472621488 1656699174 2208932232 3313398348 4417864464 6626796696 13253593392