Search a number
-
+
189964250736 = 24313319820319
BaseRepresentation
bin1011000011101011000…
…0000110111001110000
3200011022221020210121020
42300322300012321300
511103021322010421
6223133545055440
716503330326541
oct2607260067160
9604287223536
10189964250736
117362195a247
1230996787580
1314bb50c5bc0
1492a12d44c8
154e1c3a3dc6
hex2c3ac06e70

189964250736 has 80 divisors (see below), whose sum is σ = 545538416640. Its totient is φ = 56565031680.

The previous prime is 189964250731. The next prime is 189964250737. The reversal of 189964250736 is 637052469981.

It is a self number, because there is not a number n which added to its sum of digits gives 189964250736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189964250731) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4890816 + ... + 4929503.

It is an arithmetic number, because the mean of its divisors is an integer number (6819230208).

It is a 1-persistent number, because it is pandigital, but 2⋅189964250736 = 379928501472 is not.

Almost surely, 2189964250736 is an apocalyptic number.

189964250736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189964250736 is an abundant number, since it is smaller than the sum of its proper divisors (355574165904).

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

189964250736 is a wasteful number, since it uses less digits than its factorization.

189964250736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820374 (or 9820368 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 189964250736 in words is "one hundred eighty-nine billion, nine hundred sixty-four million, two hundred fifty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 9820319 19640638 29460957 39281276 58921914 78562552 117843828 127664147 157125104 235687656 255328294 304429889 382992441 471375312 510656588 608859778 765984882 913289667 1021313176 1217719556 1531969764 1826579334 2042626352 2435439112 3063939528 3653158668 3957588557 4870878224 6127879056 7306317336 7915177114 11872765671 14612634672 15830354228 23745531342 31660708456 47491062684 63321416912 94982125368 189964250736