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199625082993 = 32735924473607
BaseRepresentation
bin1011100111101010010…
…1010000100001110001
3201002021012210221001100
42321322211100201301
511232313010123433
6231412334155013
720264616131340
oct2717245204161
9632235727040
10199625082993
117772a178536
1232832052a69
1315a947507ab
14993a3a9b57
1552d55b7b13
hex2e7a950871

199625082993 has 48 divisors (see below), whose sum is σ = 330684456960. Its totient is φ = 113675717088.

The previous prime is 199625082953. The next prime is 199625083003. The reversal of 199625082993 is 399280526991.

199625082993 is a `hidden beast` number, since 1 + 9 + 96 + 250 + 8 + 299 + 3 = 666.

It is not a de Polignac number, because 199625082993 - 210 = 199625081969 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 199625082993.

It is not an unprimeable number, because it can be changed into a prime (199625082953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55341996 + ... + 55345602.

It is an arithmetic number, because the mean of its divisors is an integer number (6889259520).

Almost surely, 2199625082993 is an apocalyptic number.

It is an amenable number.

199625082993 is a deficient number, since it is larger than the sum of its proper divisors (131059373967).

199625082993 is a wasteful number, since it uses less digits than its factorization.

199625082993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 199625082993 in words is "one hundred ninety-nine billion, six hundred twenty-five million, eighty-two thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 63 359 1077 2447 2513 3231 3607 7341 7539 10821 17129 22023 22617 25249 32463 51387 75747 154161 227241 878473 1294913 2635419 3884739 6149311 7906257 8826329 9064391 11654217 18447933 26478987 27193173 55343799 61784303 79436961 81579519 185352909 556058727 3168652111 9505956333 22180564777 28517868999 66541694331 199625082993