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13541112252 = 22335314915877
BaseRepresentation
bin11001001110001110…
…01111100110111100
31021221200222202221000
430213013033212330
5210213011043002
610115401010300
7656363361243
oct144707174674
937850882830
1013541112252
115819672068
12275aa83990
13137a51c975
1492658395a
15543bdb61c
hex3271cf9bc

13541112252 has 96 divisors (see below), whose sum is σ = 36011304000. Its totient is φ = 4398541056.

The previous prime is 13541112217. The next prime is 13541112269. The reversal of 13541112252 is 25221114531.

It is a happy number.

13541112252 is a `hidden beast` number, since 1 + 3 + 541 + 112 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844938 + ... + 860814.

It is an arithmetic number, because the mean of its divisors is an integer number (375117750).

Almost surely, 213541112252 is an apocalyptic number.

13541112252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13541112252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005652000).

13541112252 is an abundant number, since it is smaller than the sum of its proper divisors (22470191748).

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

13541112252 is a wasteful number, since it uses less digits than its factorization.

13541112252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16092 (or 16084 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 13541112252 its reverse (25221114531), we get a palindrome (38762226783).

The spelling of 13541112252 in words is "thirteen billion, five hundred forty-one million, one hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 149 159 212 298 318 447 477 596 636 894 954 1341 1431 1788 1908 2682 2862 4023 5364 5724 7897 8046 15794 15877 16092 23691 31588 31754 47382 47631 63508 71073 94764 95262 142146 142893 190524 213219 284292 285786 426438 428679 571572 841481 852876 857358 1682962 1714716 2365673 2524443 3365924 4731346 5048886 7097019 7573329 9462692 10097772 14194038 15146658 21291057 22719987 28388076 30293316 42582114 45439974 63873171 85164228 90879948 125380669 127746342 250761338 255492684 376142007 501522676 752284014 1128426021 1504568028 2256852042 3385278063 4513704084 6770556126 13541112252