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13932825480 = 2332575528899
BaseRepresentation
bin11001111100111011…
…00000101110001000
31022222000001212110100
430332131200232020
5212013300403410
610222312445400
71002161030310
oct147635405610
938860055410
1013932825480
1159aa798002
12284a0a9860
13141071c442
149625cc440
155682b48c0
hex33e760b88

13932825480 has 96 divisors (see below), whose sum is σ = 51750504000. Its totient is φ = 3184645248.

The previous prime is 13932825433. The next prime is 13932825497. The reversal of 13932825480 is 8452823931.

13932825480 is a `hidden beast` number, since 1 + 3 + 93 + 2 + 82 + 5 + 480 = 666.

13932825480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139328254802 (a number of 21 digits) contains 22 as substring.

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

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, 2761930 + ... + 2766969.

It is an arithmetic number, because the mean of its divisors is an integer number (539067750).

Almost surely, 213932825480 is an apocalyptic number.

13932825480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13932825480 is an abundant number, since it is smaller than the sum of its proper divisors (37817678520).

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

13932825480 is a wasteful number, since it uses less digits than its factorization.

13932825480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528923 (or 5528916 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13932825480 in words is "thirteen billion, nine hundred thirty-two million, eight hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5528899 11057798 16586697 22115596 27644495 33173394 38702293 44231192 49760091 55288990 66346788 77404586 82933485 99520182 110577980 116106879 132693576 154809172 165866970 193511465 199040364 221155960 232213758 248800455 309618344 331733940 348320637 387022930 398080728 464427516 497600910 580534395 663467880 696641274 774045860 928855032 995201820 1161068790 1393282548 1548091720 1741603185 1990403640 2322137580 2786565096 3483206370 4644275160 6966412740 13932825480