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13345400760 = 2335111211673
BaseRepresentation
bin11000110110111001…
…01010011110111000
31021110001201121020020
430123130222132320
5204312410311020
610044130130440
7651466014636
oct143334523670
937401647206
1013345400760
11572914912a
122705420a20
131348b07653
1490859a356
1553192cc40
hex31b72a7b8

13345400760 has 32 divisors (see below), whose sum is σ = 40036202640. Its totient is φ = 3558773504.

The previous prime is 13345400753. The next prime is 13345400773. The reversal of 13345400760 is 6700454331.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 55605717 + ... + 55605956.

Almost surely, 213345400760 is an apocalyptic number.

13345400760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13345400760 is an abundant number, since it is smaller than the sum of its proper divisors (26690801880).

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

13345400760 is a wasteful number, since it uses less digits than its factorization.

13345400760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111211687 (or 111211683 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 13345400760 in words is "thirteen billion, three hundred forty-five million, four hundred thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 111211673 222423346 333635019 444846692 556058365 667270038 889693384 1112116730 1334540076 1668175095 2224233460 2669080152 3336350190 4448466920 6672700380 13345400760