Search a number
-
+
13053733752 = 2334740128859
BaseRepresentation
bin11000010100001000…
…00010101101111000
31020200201220101022110
430022010002231320
5203213223440002
65555150452320
7641324622543
oct141204025570
936621811273
1013053733752
115599546414
1226438040a0
131300566717
148bb95585a
15516017e6c
hex30a102b78

13053733752 has 64 divisors (see below), whose sum is σ = 33412953600. Its totient is φ = 4247897600.

The previous prime is 13053733751. The next prime is 13053733753. The reversal of 13053733752 is 25733735031.

It is an interprime number because it is at equal distance from previous prime (13053733751) and next prime (13053733753).

It is a self number, because there is not a number n which added to its sum of digits gives 13053733752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13053733751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437899 + ... + 466757.

It is an arithmetic number, because the mean of its divisors is an integer number (522077400).

Almost surely, 213053733752 is an apocalyptic number.

13053733752 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 13053733752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706476800).

13053733752 is an abundant number, since it is smaller than the sum of its proper divisors (20359219848).

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

13053733752 is a wasteful number, since it uses less digits than its factorization.

13053733752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29316 (or 29312 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 39.

The spelling of 13053733752 in words is "thirteen billion, fifty-three million, seven hundred thirty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 401 564 802 1128 1203 1604 2406 3208 4812 9624 18847 28859 37694 56541 57718 75388 86577 113082 115436 150776 173154 226164 230872 346308 452328 692616 1356373 2712746 4069119 5425492 8138238 10850984 11572459 16276476 23144918 32552952 34717377 46289836 69434754 92579672 138869508 277739016 543905573 1087811146 1631716719 2175622292 3263433438 4351244584 6526866876 13053733752