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13307466960 = 2432523803591
BaseRepresentation
bin11000110010010111…
…11101010011010000
31021100102100100211200
430121023331103100
5204223202420320
610040253111200
7650525413524
oct143113752320
937312310750
1013307466960
115709799987
1226b4788500
131340cb5408
14903523d84
1552d438290
hex3192fd4d0

13307466960 has 120 divisors (see below), whose sum is σ = 46634050944. Its totient is φ = 3394364160.

The previous prime is 13307466929. The next prime is 13307466961. The reversal of 13307466960 is 6966470331.

13307466960 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13307466961) by changing a digit.

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, 385236 + ... + 418355.

Almost surely, 213307466960 is an apocalyptic number.

13307466960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13307466960 is an abundant number, since it is smaller than the sum of its proper divisors (33326583984).

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

13307466960 is a wasteful number, since it uses less digits than its factorization.

13307466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803633 (or 803624 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 13307466960 in words is "thirteen billion, three hundred seven million, four hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 803591 1607182 2410773 3214364 4017955 4821546 6428728 7232319 8035910 9643092 12053865 12857456 14464638 16071820 18482593 19286184 24107730 28929276 32143640 36161595 36965186 38572368 48215460 55447779 57858552 64287280 72323190 73930372 92412965 96430920 110895558 115717104 144646380 147860744 166343337 184825930 192861840 221791116 277238895 289292760 295721488 332686674 369651860 443582232 554477790 578585520 665373348 739303720 831716685 887164464 1108955580 1330746696 1478607440 1663433370 2217911160 2661493392 3326866740 4435822320 6653733480 13307466960