Search a number
-
+
13478927232 = 273433492339
BaseRepresentation
bin11001000110110100…
…00001101110000000
31021210100222110010010
430203122001232000
5210101101132412
610105300104520
7655006663641
oct144332015600
937710873103
1013478927232
115797559591
122742095140
13136a6892b4
1491c1d76c8
1553d50633c
hex323681b80

13478927232 has 128 divisors (see below), whose sum is σ = 36756720000. Its totient is φ = 4374042624.

The previous prime is 13478927221. The next prime is 13478927233. The reversal of 13478927232 is 23272987431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478927233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5761519 + ... + 5763857.

It is an arithmetic number, because the mean of its divisors is an integer number (287161875).

Almost surely, 213478927232 is an apocalyptic number.

13478927232 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 13478927232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360000).

13478927232 is an abundant number, since it is smaller than the sum of its proper divisors (23277792768).

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

13478927232 is a wasteful number, since it uses less digits than its factorization.

13478927232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2736 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 13478927232 in words is "thirteen billion, four hundred seventy-eight million, nine hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 349 384 516 688 698 1032 1047 1376 1396 2064 2094 2339 2752 2792 4128 4188 4678 5504 5584 7017 8256 8376 9356 11168 14034 15007 16512 16752 18712 22336 28068 30014 33504 37424 44672 45021 56136 60028 67008 74848 90042 100577 112272 120056 134016 149696 180084 201154 224544 240112 299392 301731 360168 402308 449088 480224 603462 720336 804616 816311 898176 960448 1206924 1440672 1609232 1632622 1920896 2413848 2448933 2881344 3218464 3265244 4827696 4897866 5762688 6436928 6530488 9655392 9795732 12873856 13060976 19310784 19591464 26121952 35101373 38621568 39182928 52243904 70202746 78365856 104487808 105304119 140405492 156731712 210608238 280810984 313463424 421216476 561621968 842432952 1123243936 1684865904 2246487872 3369731808 4492975744 6739463616 13478927232