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13353105640 = 235726812809
BaseRepresentation
bin11000110111110100…
…00011100011101000
31021110121020001100011
430123322003203220
5204321343340030
610045003221304
7651621345100
oct143372034350
937417201304
1013353105640
1157325309a6
122707b17834
13134a5a4654
14909604200
15532450b2a
hex31be838e8

13353105640 has 48 divisors (see below), whose sum is σ = 34949715300. Its totient is φ = 4578206976.

The previous prime is 13353105611. The next prime is 13353105721. The reversal of 13353105640 is 4650135331.

13353105640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11660112324 + 1692993316 = 107982^2 + 41146^2 .

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 11 ways as a sum of consecutive naturals, for example, 3404445 + ... + 3408364.

Almost surely, 213353105640 is an apocalyptic number.

13353105640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13353105640 is an abundant number, since it is smaller than the sum of its proper divisors (21596609660).

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

13353105640 is a wasteful number, since it uses less digits than its factorization.

13353105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812834 (or 6812823 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 13353105640 in words is "thirteen billion, three hundred fifty-three million, one hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6812809 13625618 27251236 34064045 47689663 54502472 68128090 95379326 136256180 190758652 238448315 272512360 333827641 381517304 476896630 667655282 953793260 1335310564 1669138205 1907586520 2670621128 3338276410 6676552820 13353105640