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13047328632 = 2331327145307
BaseRepresentation
bin11000010011010111…
…00110111101111000
31020200021211222010210
430021223212331320
5203210104004012
65554401311120
7641216314662
oct141153467570
936607758123
1013047328632
115595971128
1226416354a0
1312cc133200
148bab69532
155156a023c
hex309ae6f78

13047328632 has 96 divisors (see below), whose sum is σ = 35818692480. Its totient is φ = 3957932160.

The previous prime is 13047328601. The next prime is 13047328681. The reversal of 13047328632 is 23682374031.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 265323 + ... + 310629.

It is an arithmetic number, because the mean of its divisors is an integer number (373111380).

Almost surely, 213047328632 is an apocalyptic number.

13047328632 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 13047328632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909346240).

13047328632 is an abundant number, since it is smaller than the sum of its proper divisors (22771363848).

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

13047328632 is a wasteful number, since it uses less digits than its factorization.

13047328632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45413 (or 45396 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 13047328632 in words is "thirteen billion, forty-seven million, three hundred twenty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 169 213 284 312 338 426 507 568 676 852 923 1014 1352 1704 1846 2028 2769 3692 4056 5538 7384 11076 11999 22152 23998 35997 45307 47996 71994 90614 95992 135921 143988 181228 271842 287976 362456 543684 588991 1087368 1177982 1766973 2355964 3216797 3533946 4711928 6433594 7067892 7656883 9650391 12867188 14135784 15313766 19300782 22970649 25734376 30627532 38601564 41818361 45941298 61255064 77203128 83636722 91882596 125455083 167273444 183765192 250910166 334546888 501820332 543638693 1003640664 1087277386 1630916079 2174554772 3261832158 4349109544 6523664316 13047328632