Search a number
-
+
195604894656 = 26331123100799
BaseRepresentation
bin1011011000101011110…
…1011101001111000000
3200200220001010012102000
42312022331131033000
511201044323112111
6225505403424000
720063162112543
oct2661275351700
9620801105360
10195604894656
1175a56955536
1231aab825000
13155a38b1022
1496784bc85a
15514c6a5c56
hex2d8af5d3c0

195604894656 has 112 divisors (see below), whose sum is σ = 575559936000. Its totient is φ = 65142925056.

The previous prime is 195604894543. The next prime is 195604894657. The reversal of 195604894656 is 656498406591.

195604894656 is a `hidden beast` number, since 1 + 9 + 5 + 60 + 489 + 46 + 56 = 666.

It is a super-2 number, since 2×1956048946562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 195604894593 and 195604894602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195604894657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1890145 + ... + 1990943.

It is an arithmetic number, because the mean of its divisors is an integer number (5138928000).

Almost surely, 2195604894656 is an apocalyptic number.

195604894656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195604894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287779968000).

195604894656 is an abundant number, since it is smaller than the sum of its proper divisors (379955041344).

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

195604894656 is a wasteful number, since it uses less digits than its factorization.

195604894656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101943 (or 101927 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 195604894656 in words is "one hundred ninety-five billion, six hundred four million, eight hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1123 1728 2246 3369 4492 6738 8984 10107 13476 17968 20214 26952 30321 35936 40428 53904 60642 71872 80856 100799 107808 121284 161712 201598 215616 242568 302397 323424 403196 485136 604794 646848 806392 907191 970272 1209588 1612784 1814382 1940544 2419176 2721573 3225568 3628764 4838352 5443146 6451136 7257528 9676704 10886292 14515056 19353408 21772584 29030112 43545168 58060224 87090336 113197277 174180672 226394554 339591831 452789108 679183662 905578216 1018775493 1358367324 1811156432 2037550986 2716734648 3056326479 3622312864 4075101972 5433469296 6112652958 7244625728 8150203944 10866938592 12225305916 16300407888 21733877184 24450611832 32600815776 48901223664 65201631552 97802447328 195604894656