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195930624768 = 2832342126347
BaseRepresentation
bin1011011001111001100…
…0000001001100000000
3200201201202001000010020
42312132120001030000
511202231214443033
6230002001133440
720104225555164
oct2663630011400
9621652030106
10195930624768
117610380337a
1231b8092a280
131562621a438
1496a986cca4
15516b0986b3
hex2d9e601300

195930624768 has 144 divisors (see below), whose sum is σ = 545446599936. Its totient is φ = 62319882240.

The previous prime is 195930624713. The next prime is 195930624787. The reversal of 195930624768 is 867426039591.

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, 7423371 + ... + 7449717.

It is a 1-persistent number, because it is pandigital, but 2⋅195930624768 = 391861249536 is not.

Almost surely, 2195930624768 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 195930624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272723299968).

195930624768 is an abundant number, since it is smaller than the sum of its proper divisors (349515975168).

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

195930624768 is a wasteful number, since it uses less digits than its factorization.

195930624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26810 (or 26796 counting only the distinct ones).

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

The spelling of 195930624768 in words is "one hundred ninety-five billion, nine hundred thirty million, six hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 421 552 736 768 842 1104 1263 1472 1684 2208 2526 2944 3368 4416 5052 5888 6736 8832 9683 10104 13472 17664 19366 20208 26347 26944 29049 38732 40416 52694 53888 58098 77464 79041 80832 105388 107776 116196 154928 158082 161664 210776 232392 309856 316164 323328 421552 464784 605981 619712 632328 843104 929568 1211962 1239424 1264656 1686208 1817943 1859136 2423924 2478848 2529312 3372416 3635886 3718272 4847848 5058624 6744832 7271772 7436544 9695696 10117248 11092087 14543544 19391392 20234496 22184174 29087088 33276261 38782784 44368348 58174176 66552522 77565568 88736696 116348352 133105044 155131136 177473392 232696704 255118001 266210088 354946784 465393408 510236002 532420176 709893568 765354003 1020472004 1064840352 1419787136 1530708006 2040944008 2129680704 2839574272 3061416012 4081888016 4259361408 6122832024 8163776032 8518722816 12245664048 16327552064 24491328096 32655104128 48982656192 65310208256 97965312384 195930624768