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199106933796 = 223231223992
BaseRepresentation
bin1011100101101110110…
…0101011010000100100
3201000221002211012222100
42321123230223100210
511230232333340141
6231245104332100
720246025004311
oct2713354532044
9630832735870
10199106933796
1177493745361
1232708614030
1315a112b2834
1498cb64bd08
1552a4d670b6
hex2e5bb2b424

199106933796 has 81 divisors (see below), whose sum is σ = 520274099163. Its totient is φ = 64201270320.

The previous prime is 199106933791. The next prime is 199106933801. The reversal of 199106933796 is 697339601991.

The square root of 199106933796 is 446214.

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

199106933796 is a `hidden beast` number, since 199 + 10 + 69 + 3 + 379 + 6 = 666.

199106933796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199106933791) and next prime (199106933801).

It is not an unprimeable number, because it can be changed into a prime (199106933791) 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 26 ways as a sum of consecutive naturals, for example, 82994605 + ... + 82997003.

Almost surely, 2199106933796 is an apocalyptic number.

199106933796 is the 446214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199106933796

199106933796 is an abundant number, since it is smaller than the sum of its proper divisors (321167165367).

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

199106933796 is an equidigital number, since it uses as much as digits as its factorization.

199106933796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

The spelling of 199106933796 in words is "one hundred ninety-nine billion, one hundred six million, nine hundred thirty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2399 2883 3844 4798 5766 7197 8649 9596 11532 14394 17298 21591 28788 34596 43182 74369 86364 148738 223107 297476 446214 669321 892428 1338642 2305439 2677284 4610878 5755201 6916317 9221756 11510402 13832634 17265603 20748951 23020804 27665268 34531206 41497902 51796809 69062412 82995804 103593618 178411231 207187236 356822462 535233693 713644924 1070467386 1605701079 2140934772 3211402158 5530748161 6422804316 11061496322 16592244483 22122992644 33184488966 49776733449 66368977932 99553466898 199106933796