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13952639947068 = 2233487726489873
BaseRepresentation
bin1100101100001001101000…
…1001011101000100111100
31211101212012110121222201000
43023002122021131010330
53312100001311301233
645401430532450300
72640021265503354
oct313023211350474
954355173558630
1013952639947068
11449a310561979
121694146a79990
137a29611028a4
143634505bbb64
15192e181c9d13
hexcb09a25d13c

13952639947068 has 48 divisors (see below), whose sum is σ = 36180929504160. Its totient is φ = 4649926171392.

The previous prime is 13952639947063. The next prime is 13952639947091. The reversal of 13952639947068 is 86074993625931.

13952639947068 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 2 + 6 + 3 + 99 + 470 + 68 = 666.

It is a super-2 number, since 2×139526399470682 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13952639946987 and 13952639947005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13952639947063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12718221 + ... + 13771652.

It is an arithmetic number, because the mean of its divisors is an integer number (753769364670).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13952639947068 = 27905279894136, but 3⋅13952639947068 = 41857919841204 is not.

Almost surely, 213952639947068 is an apocalyptic number.

13952639947068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13952639947068 is an abundant number, since it is smaller than the sum of its proper divisors (22228289557092).

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

13952639947068 is a wasteful number, since it uses less digits than its factorization.

13952639947068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26494763 (or 26494755 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 13952639947068 in words is "thirteen trillion, nine hundred fifty-two billion, six hundred thirty-nine million, nine hundred forty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4877 9754 14631 19508 29262 43893 58524 87786 131679 175572 263358 526716 26489873 52979746 79469619 105959492 158939238 238408857 317878476 476817714 715226571 953635428 1430453142 2860906284 129191110621 258382221242 387573331863 516764442484 775146663726 1162719995589 1550293327452 2325439991178 3488159986767 4650879982356 6976319973534 13952639947068