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13955835150 = 23252227136621
BaseRepresentation
bin11001111111101010…
…10010010100001110
31100000121100212210100
430333311102110032
5212040143211100
610224453551530
71002560433015
oct147765222416
940017325710
1013955835150
115a11783564
1228559455a6
13141541772a
1496569ba7c
1556a30c400
hex33fd5250e

13955835150 has 72 divisors (see below), whose sum is σ = 37660127544. Its totient is φ = 3705134400.

The previous prime is 13955835077. The next prime is 13955835197. The reversal of 13955835150 is 5153855931.

13955835150 is a `hidden beast` number, since 1 + 3 + 9 + 55 + 83 + 515 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13955835096 and 13955835105.

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 35 ways as a sum of consecutive naturals, for example, 33840 + ... + 170460.

It is an arithmetic number, because the mean of its divisors is an integer number (523057327).

Almost surely, 213955835150 is an apocalyptic number.

13955835150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13955835150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18830063772).

13955835150 is an abundant number, since it is smaller than the sum of its proper divisors (23704292394).

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

13955835150 is a wasteful number, since it uses less digits than its factorization.

13955835150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136866 (or 136858 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 13955835150 in words is "thirteen billion, nine hundred fifty-five million, eight hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 227 450 454 681 1135 1362 2043 2270 3405 4086 5675 6810 10215 11350 17025 20430 34050 51075 102150 136621 273242 409863 683105 819726 1229589 1366210 2049315 2459178 3415525 4098630 6147945 6831050 10246575 12295890 20493150 30739725 31012967 61479450 62025934 93038901 155064835 186077802 279116703 310129670 465194505 558233406 775324175 930389010 1395583515 1550648350 2325972525 2791167030 4651945050 6977917575 13955835150