Search a number
-
+
13969348864 = 28832892
BaseRepresentation
bin11010000001010001…
…10101100100000000
31100001112210110010021
431000220311210000
5212102123130424
610230055343224
71003113335422
oct150050654400
940045713107
1013969348864
115a19373619
12285a381b14
131418169703
149673b8812
1556b5cb4e4
hex340a35900

13969348864 has 81 divisors (see below), whose sum is σ = 28544819233. Its totient is φ = 6822987776.

The previous prime is 13969348843. The next prime is 13969348873. The reversal of 13969348864 is 46884396931.

The square root of 13969348864 is 118192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2682411264 + 11286937600 = 51792^2 + 106240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156958932 + ... + 156959020.

Almost surely, 213969348864 is an apocalyptic number.

13969348864 is the 118192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13969348864

13969348864 is an abundant number, since it is smaller than the sum of its proper divisors (14575470369).

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

13969348864 is an frugal number, since it uses more digits than its factorization.

13969348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 174 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 61.

The spelling of 13969348864 in words is "thirteen billion, nine hundred sixty-nine million, three hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 83 89 128 166 178 256 332 356 664 712 1328 1424 2656 2848 5312 5696 6889 7387 7921 10624 11392 13778 14774 15842 21248 22784 27556 29548 31684 55112 59096 63368 110224 118192 126736 220448 236384 253472 440896 472768 506944 613121 657443 881792 945536 1013888 1226242 1314886 1763584 1891072 2027776 2452484 2629772 4904968 5259544 9809936 10519088 19619872 21038176 39239744 42076352 54567769 78479488 84152704 109135538 156958976 168305408 218271076 436542152 873084304 1746168608 3492337216 6984674432 13969348864