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13650013800 = 2332527583341
BaseRepresentation
bin11001011011001101…
…01010111001101000
31022020021220112202200
430231212222321220
5210423400420200
610134251100200
7662155126413
oct145546527150
938207815680
1013650013800
115875093445
12278b441660
131396c5c057
14936c10b7a
1554d54d800
hex32d9aae68

13650013800 has 72 divisors (see below), whose sum is σ = 45841302390. Its totient is φ = 3640003200.

The previous prime is 13650013787. The next prime is 13650013807. The reversal of 13650013800 is 831005631.

13650013800 is a `hidden beast` number, since 1 + 3 + 650 + 0 + 1 + 3 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11756197476 + 1893816324 = 108426^2 + 43518^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13650013807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3789871 + ... + 3793470.

Almost surely, 213650013800 is an apocalyptic number.

13650013800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13650013800 is an abundant number, since it is smaller than the sum of its proper divisors (32191288590).

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

13650013800 is a wasteful number, since it uses less digits than its factorization.

13650013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583363 (or 7583351 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13650013800 in words is "thirteen billion, six hundred fifty million, thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 7583341 15166682 22750023 30333364 37916705 45500046 60666728 68250069 75833410 91000092 113750115 136500138 151666820 182000184 189583525 227500230 273000276 303333640 341250345 379167050 455000460 546000552 568750575 682500690 758334100 910000920 1137501150 1365001380 1516668200 1706251725 2275002300 2730002760 3412503450 4550004600 6825006900 13650013800