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14694368904 = 2332297339601
BaseRepresentation
bin11011010111101101…
…00100011010001000
31101221002001021122100
431223312210122020
5220043224301104
610430035153400
71030066034445
oct155366443210
941832037570
1014694368904
116260651936
122a21145860
131502429157
149d57c69cc
155b0092139
hex36bda4688

14694368904 has 96 divisors (see below), whose sum is σ = 41230027800. Its totient is φ = 4722278400.

The previous prime is 14694368893. The next prime is 14694368917. The reversal of 14694368904 is 40986349641.

It is a happy number.

14694368904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14592156804 + 102212100 = 120798^2 + 10110^2 .

It is a super-2 number, since 2×146943689042 (a number of 21 digits) contains 22 as substring.

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, 1525704 + ... + 1535304.

Almost surely, 214694368904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14694368904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615013900).

14694368904 is an abundant number, since it is smaller than the sum of its proper divisors (26535658896).

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

14694368904 is a wasteful number, since it uses less digits than its factorization.

14694368904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

It can be divided in two parts, 1469436 and 8904, that added together give a triangular number (1478340 = T1719).

The spelling of 14694368904 in words is "fourteen billion, six hundred ninety-four million, three hundred sixty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 733 1044 1466 2088 2199 2932 4398 5864 6597 8796 9601 13194 17592 19202 21257 26388 28803 38404 42514 52776 57606 63771 76808 85028 86409 115212 127542 170056 172818 191313 230424 255084 278429 345636 382626 510168 556858 691272 765252 835287 1113716 1530504 1670574 2227432 2505861 3341148 5011722 6682296 7037533 10023444 14075066 20046888 21112599 28150132 42225198 56300264 63337797 84450396 126675594 168900792 204088457 253351188 408176914 506702376 612265371 816353828 1224530742 1632707656 1836796113 2449061484 3673592226 4898122968 7347184452 14694368904