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13531155552 = 2532421111599
BaseRepresentation
bin11001001101000010…
…10000110001100000
31021221000020220220100
430212201100301200
5210202433434202
610114403342400
7656212632045
oct144641206140
937830226810
1013531155552
115813a91492
122757681a00
131378444a25
149251111cc
15542dc141c
hex326850c60

13531155552 has 72 divisors (see below), whose sum is σ = 38570968800. Its totient is φ = 4499631360.

The previous prime is 13531155551. The next prime is 13531155563. The reversal of 13531155552 is 25555113531.

13531155552 is a `hidden beast` number, since 1 + 3 + 53 + 1 + 1 + 55 + 552 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531155551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65449 + ... + 177047.

It is an arithmetic number, because the mean of its divisors is an integer number (535707900).

Almost surely, 213531155552 is an apocalyptic number.

13531155552 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 13531155552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19285484400).

13531155552 is an abundant number, since it is smaller than the sum of its proper divisors (25039813248).

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

13531155552 is a wasteful number, since it uses less digits than its factorization.

13531155552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112036 (or 112025 counting only the distinct ones).

The product of its digits is 56250, while the sum is 36.

The spelling of 13531155552 in words is "thirteen billion, five hundred thirty-one million, one hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421 842 1263 1684 2526 3368 3789 5052 6736 7578 10104 13472 15156 20208 30312 40416 60624 111599 121248 223198 334797 446396 669594 892792 1004391 1339188 1785584 2008782 2678376 3571168 4017564 5356752 8035128 10713504 16070256 32140512 46983179 93966358 140949537 187932716 281899074 375865432 422848611 563798148 751730864 845697222 1127596296 1503461728 1691394444 2255192592 3382788888 4510385184 6765577776 13531155552