Search a number
-
+
9393400525344 = 2531143206866643
BaseRepresentation
bin1000100010110001001001…
…0011010011001000100000
31020021000000020022011000220
42020230102103103020200
52212400141013302334
631551134005043040
71656436136030343
oct210542223231040
936230006264026
109393400525344
112aa179a790540
1210786069b6480
13531a4218b834
142469005cc45a
15114525a25449
hex88b124d3220

9393400525344 has 96 divisors (see below), whose sum is σ = 27524848184064. Its totient is φ = 2780287668480.

The previous prime is 9393400525337. The next prime is 9393400525357. The reversal of 9393400525344 is 4435250043939.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103387914 + ... + 103478729.

It is an arithmetic number, because the mean of its divisors is an integer number (286717168584).

Almost surely, 29393400525344 is an apocalyptic number.

It is an amenable number.

9393400525344 is an abundant number, since it is smaller than the sum of its proper divisors (18131447658720).

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

9393400525344 is a wasteful number, since it uses less digits than its factorization.

9393400525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206866710 (or 206866702 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 51.

The spelling of 9393400525344 in words is "nine trillion, three hundred ninety-three billion, four hundred million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2838 3784 4128 5676 7568 11352 15136 22704 45408 206866643 413733286 620599929 827466572 1241199858 1654933144 2275533073 2482399716 3309866288 4551066146 4964799432 6619732576 6826599219 8895265649 9102132292 9929598864 13653198438 17790531298 18204264584 19859197728 26685796947 27306396876 35581062596 36408529168 53371593894 54612793752 71162125192 72817058336 97847922139 106743187788 109225587504 142324250384 195695844278 213486375576 218451175008 284648500768 293543766417 391391688556 426972751152 587087532834 782783377112 853945502304 1174175065668 1565566754224 2348350131336 3131133508448 4696700262672 9393400525344