Search a number
-
+
3195163400004 = 2232292102732
BaseRepresentation
bin101110011111101110100…
…101000101011101000100
3102022110021102122020001100
4232133232211011131010
5404322143312300004
610443500544300100
7446562061533342
oct56375645053504
912273242566040
103195163400004
1110220744947a4
124372b1911630
131a23c1b01694
14b090a8cc992
15581a828b739
hex2e7ee945744

3195163400004 has 81 divisors (see below), whose sum is σ = 8365586630583. Its totient is φ = 1028228350464.

The previous prime is 3195163399993. The next prime is 3195163400017. The reversal of 3195163400004 is 4000043615913.

The square root of 3195163400004 is 1787502.

It is a perfect power (a square), and thus also a powerful number.

3195163400004 is a `hidden beast` number, since 3 + 1 + 95 + 163 + 400 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 223511472900 + 2971651927104 = 472770^2 + 1723848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 311020212 + ... + 311030484.

Almost surely, 23195163400004 is an apocalyptic number.

3195163400004 is the 1787502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3195163400004

3195163400004 is an abundant number, since it is smaller than the sum of its proper divisors (5170423230579).

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

3195163400004 is an equidigital number, since it uses as much as digits as its factorization.

3195163400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20614 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 3195163400004 by its sum of digits (36), we get a square (115025882400144 = 107250122).

3195163400004 divided by its sum of digits (36) gives a square (88754538889 = 2979172).

The spelling of 3195163400004 in words is "three trillion, one hundred ninety-five billion, one hundred sixty-three million, four hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 10273 15138 20546 30276 30819 41092 61638 92457 123276 184914 297917 369828 595834 893751 1191668 1787502 2681253 3575004 5362506 8639593 10725012 17279186 25918779 34558372 51837558 77756337 103675116 105534529 155512674 211069058 311025348 316603587 422138116 633207174 949810761 1266414348 1899621522 3060501341 3799243044 6121002682 9181504023 12242005364 18363008046 27544512069 36726016092 55089024138 88754538889 110178048276 177509077778 266263616667 355018155556 532527233334 798790850001 1065054466668 1597581700002 3195163400004