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13376850900 = 2235276369929
BaseRepresentation
bin11000111010101001…
…01000101111010100
31021112020220102201020
430131110220233110
5204343433212100
610051212201140
7652330233210
oct143524505724
937466812636
1013376850900
11574497a086
122713a691b0
1313524996ba
1490c825940
155345915a0
hex31d528bd4

13376850900 has 72 divisors (see below), whose sum is σ = 44232793920. Its totient is φ = 3057565440.

The previous prime is 13376850881. The next prime is 13376850931. The reversal of 13376850900 is 905867331.

13376850900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 3182865 + ... + 3187064.

It is an arithmetic number, because the mean of its divisors is an integer number (614344360).

Almost surely, 213376850900 is an apocalyptic number.

13376850900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13376850900 is an abundant number, since it is smaller than the sum of its proper divisors (30855943020).

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

13376850900 is a wasteful number, since it uses less digits than its factorization.

13376850900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369953 (or 6369946 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 13376850900 in words is "thirteen billion, three hundred seventy-six million, eight hundred fifty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6369929 12739858 19109787 25479716 31849645 38219574 44589503 63699290 76439148 89179006 95548935 127398580 133768509 159248225 178358012 191097870 222947515 267537018 318496450 382195740 445895030 477744675 535074036 636992900 668842545 891790060 955489350 1114737575 1337685090 1910978700 2229475150 2675370180 3344212725 4458950300 6688425450 13376850900