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13305299064 = 23329831391657
BaseRepresentation
bin11000110010000111…
…01100000001111000
31021100021021020001020
430121003230001320
5204222124032224
610040134422440
7650501114241
oct143103540170
937307236036
1013305299064
115708549132
1226b3b01a20
131340706735
1490311bcc8
1552d15ac79
hex3190ec078

13305299064 has 128 divisors (see below), whose sum is σ = 35096544000. Its totient is φ = 4197602304.

The previous prime is 13305299057. The next prime is 13305299071. The reversal of 13305299064 is 46099250331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13305299057) and next prime (13305299071).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8028924 + ... + 8030580.

It is an arithmetic number, because the mean of its divisors is an integer number (274191750).

Almost surely, 213305299064 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 13305299064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548272000).

13305299064 is an abundant number, since it is smaller than the sum of its proper divisors (21791244936).

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

13305299064 is a wasteful number, since it uses less digits than its factorization.

13305299064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 13305299064 in words is "thirteen billion, three hundred five million, two hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 139 166 174 232 249 278 332 348 417 498 556 664 696 834 996 1112 1657 1668 1992 2407 3314 3336 4031 4814 4971 6628 7221 8062 9628 9942 11537 12093 13256 14442 16124 19256 19884 23074 24186 28884 32248 34611 39768 46148 48053 48372 57768 69222 92296 96106 96744 137531 138444 144159 192212 230323 275062 276888 288318 334573 384424 412593 460646 550124 576636 669146 690969 825186 921292 1003719 1100248 1153272 1338292 1381938 1650372 1842584 2007438 2676584 2763876 3300744 3988399 4014876 5527752 6679367 7976798 8029752 11965197 13358734 15953596 19116809 20038101 23930394 26717468 31907192 38233618 40076202 47860788 53434936 57350427 76467236 80152404 95721576 114700854 152934472 160304808 229401708 458803416 554387461 1108774922 1663162383 2217549844 3326324766 4435099688 6652649532 13305299064