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195159977640 = 233656692729
BaseRepresentation
bin1011010111000001110…
…0001110111010101000
3200122202000221002000000
42311300130032322220
511144141423241030
6225353311343000
720046150303435
oct2656034167250
9618660832000
10195159977640
11758487a0821
12319a6821a60
1315532673b14
149635384b8c
1551235bd860
hex2d7070eea8

195159977640 has 112 divisors (see below), whose sum is σ = 658363850100. Its totient is φ = 52042652928.

The previous prime is 195159977627. The next prime is 195159977641. The reversal of 195159977640 is 46779951591.

195159977640 is a `hidden beast` number, since 1 + 9 + 515 + 9 + 9 + 7 + 76 + 40 = 666.

195159977640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189104959044 + 6055018596 = 434862^2 + 77814^2 .

It is not an unprimeable number, because it can be changed into a prime (195159977641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3317205 + ... + 3375524.

Almost surely, 2195159977640 is an apocalyptic number.

195159977640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195159977640 is an abundant number, since it is smaller than the sum of its proper divisors (463203872460).

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

195159977640 is an equidigital number, since it uses as much as digits as its factorization.

195159977640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692758 (or 6692739 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 195159977640 in words is "one hundred ninety-five billion, one hundred fifty-nine million, nine hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160 6692729 13385458 20078187 26770916 33463645 40156374 53541832 60234561 66927290 80312748 100390935 120469122 133854580 160625496 180703683 200781870 240938244 267709160 301172805 361407366 401563740 481876488 542111049 602345610 722814732 803127480 903518415 1084222098 1204691220 1445629464 1626333147 1807036830 2168444196 2409382440 2710555245 3252666294 3614073660 4336888392 4878999441 5421110490 6505332588 7228147320 8131665735 9757998882 10842220980 13010665176 16263331470 19515997764 21684441960 24394997205 32526662940 39031995528 48789994410 65053325880 97579988820 195159977640