Search a number
-
+
18178053052328 = 2313376277752593
BaseRepresentation
bin1000010001000011010000…
…11001010001011110101000
32101100210201202211212211022
410020201220121101132220
54340312123040133303
6102354514323552012
73554215046341421
oct410415031213650
971323652755738
1018178053052328
1158792a6057874
12205704122b608
13a1b24c203380
1446bb72b9c648
15217cbd6cd438
hex1088686517a8

18178053052328 has 64 divisors (see below), whose sum is σ = 37703785353360. Its totient is φ = 8161806053376.

The previous prime is 18178053052319. The next prime is 18178053052373. The reversal of 18178053052328 is 82325035087181.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17011648732324 + 1166404320004 = 4124518^2 + 1080002^2 .

It is a super-2 number, since 2×181780530523282 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18178053052328.

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 15 ways as a sum of consecutive naturals, for example, 23777600 + ... + 24530192.

Almost surely, 218178053052328 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 18178053052328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851892676680).

18178053052328 is an abundant number, since it is smaller than the sum of its proper divisors (19525732301032).

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

18178053052328 is a wasteful number, since it uses less digits than its factorization.

18178053052328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758926 (or 758922 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 18178053052328 in words is "eighteen trillion, one hundred seventy-eight billion, fifty-three million, fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3848 6277 12554 25108 50216 81601 163202 232249 326404 464498 652808 752593 928996 1505186 1857992 3010372 3019237 6020744 6038474 9783709 12076948 19567418 24153896 27845941 39134836 55691882 78269672 111383764 222767528 361997233 723994466 1447988932 2895977864 4724026261 9448052522 18896105044 37792210088 61412341393 122824682786 174788971657 245649365572 349577943314 491298731144 699155886628 1398311773256 2272256631541 4544513263082 9089026526164 18178053052328