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185020185344 = 2843124913457
BaseRepresentation
bin1010110001010000001…
…1111111101100000000
3122200120101010020220012
42230110003333230000
511012410131412334
6220555212404052
716236654424661
oct2542403775400
9580511106805
10185020185344
1171515086795
122ba36a76628
13145a7a1ca17
148d52833368
154c2d2ea9ce
hex2b140ffb00

185020185344 has 72 divisors (see below), whose sum is σ = 378237090000. Its totient is φ = 90279641088.

The previous prime is 185020185307. The next prime is 185020185353. The reversal of 185020185344 is 443581020581.

It is a super-2 number, since 2×1850201853442 (a number of 23 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 7 ways as a sum of consecutive naturals, for example, 13742264 + ... + 13755720.

Almost surely, 2185020185344 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 185020185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189118545000).

185020185344 is an abundant number, since it is smaller than the sum of its proper divisors (193216904656).

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

185020185344 is a wasteful number, since it uses less digits than its factorization.

185020185344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 185020185344 in words is "one hundred eighty-five billion, twenty million, one hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1249 1376 2498 2752 4996 5504 9992 11008 13457 19984 26914 39968 53707 53828 79936 107414 107656 159872 214828 215312 319744 429656 430624 578651 859312 861248 1157302 1718624 1722496 2314604 3437248 3444992 4629208 6874496 9258416 13748992 16807793 18516832 33615586 37033664 67231172 74067328 134462344 148134656 268924688 537849376 722735099 1075698752 1445470198 2151397504 2890940396 4302795008 5781880792 11563761584 23127523168 46255046336 92510092672 185020185344