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13730670750 = 235328796359
BaseRepresentation
bin11001100100110100…
…10110100010011110
31022102220200100022010
430302122112202132
5211110022431000
610150251532050
7664154530026
oct146232264236
938386610263
1013730670750
115906673185
1227b245a026
1313aa88c464
14943808a86
15555681d50
hex33269689e

13730670750 has 64 divisors (see below), whose sum is σ = 34289049600. Its totient is φ = 3659664800.

The previous prime is 13730670731. The next prime is 13730670763. The reversal of 13730670750 is 5707603731.

13730670750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13730670699 and 13730670708.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2156071 + ... + 2162429.

It is an arithmetic number, because the mean of its divisors is an integer number (535766400).

Almost surely, 213730670750 is an apocalyptic number.

13730670750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13730670750 is an abundant number, since it is smaller than the sum of its proper divisors (20558378850).

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

13730670750 is a wasteful number, since it uses less digits than its factorization.

13730670750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 39.

It can be divided in two parts, 13730670 and 750, that added together give a triangular number (13731420 = T5240).

The spelling of 13730670750 in words is "thirteen billion, seven hundred thirty million, six hundred seventy thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 2879 5758 6359 8637 12718 14395 17274 19077 28790 31795 38154 43185 63590 71975 86370 95385 143950 158975 190770 215925 317950 359875 431850 476925 719750 794875 953850 1079625 1589750 2159250 2384625 4769250 18307561 36615122 54922683 91537805 109845366 183075610 274613415 457689025 549226830 915378050 1373067075 2288445125 2746134150 4576890250 6865335375 13730670750