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13238743238748 = 22323113198993687
BaseRepresentation
bin1100000010100110001010…
…0101101000100001011100
31201212121111210000122221100
43000221202211220201130
53213400421232114443
644053443352433100
72534316253553256
oct300514245504134
951777453018840
1013238743238748
114244579474675
1215999103a8790
1375053c880921
1433aa8980acd6
1517e5840e43d3
hexc0a6296885c

13238743238748 has 72 divisors (see below), whose sum is σ = 34570297681920. Its totient is φ = 4267324133280.

The previous prime is 13238743238731. The next prime is 13238743238797. The reversal of 13238743238748 is 84783234783231.

It is a happy number.

13238743238748 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 87 + 432 + 3 + 87 + 48 = 666.

It is a super-4 number, since 4×132387432387484 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024840 + ... + 5968847.

It is an arithmetic number, because the mean of its divisors is an integer number (480143023360).

Almost surely, 213238743238748 is an apocalyptic number.

13238743238748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13238743238748 is an abundant number, since it is smaller than the sum of its proper divisors (21331554443172).

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

13238743238748 is a wasteful number, since it uses less digits than its factorization.

13238743238748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995047 (or 8995042 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 13238743238748 in words is "thirteen trillion, two hundred thirty-eight billion, seven hundred forty-three million, two hundred thirty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1319 2638 3957 5276 7914 11871 15828 23742 40889 47484 81778 122667 163556 245334 368001 490668 736002 1472004 8993687 17987374 26981061 35974748 53962122 80943183 107924244 161886366 278804297 323772732 557608594 836412891 1115217188 1672825782 2509238673 3345651564 5018477346 10036954692 11862673153 23725346306 35588019459 47450692612 71176038918 106764058377 142352077836 213528116754 367742867743 427056233508 735485735486 1103228603229 1470971470972 2206457206458 3309685809687 4412914412916 6619371619374 13238743238748