Search a number
-
+
190035679616681 is a prime number
BaseRepresentation
bin101011001101011000100001…
…001011011001111010101001
3220220212020022020220010111112
4223031120201023121322221
5144402021032440213211
61512101104102240105
755012424203451243
oct5315304113317251
9826766266803445
10190035679616681
1155607751a18448
1219392230726035
1382063980aa9a2
1434cdac1391093
1516e83e66c488b
hexacd6212d9ea9

190035679616681 has 2 divisors, whose sum is σ = 190035679616682. Its totient is φ = 190035679616680.

The previous prime is 190035679616611. The next prime is 190035679616719. The reversal of 190035679616681 is 186616976530091.

190035679616681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95650179968281 + 94385499648400 = 9780091^2 + 9715220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-190035679616681 is a prime.

It is a super-3 number, since 3×1900356796166813 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (190035679616611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 95017839808340 + 95017839808341.

It is an arithmetic number, because the mean of its divisors is an integer number (95017839808341).

Almost surely, 2190035679616681 is an apocalyptic number.

It is an amenable number.

190035679616681 is a deficient number, since it is larger than the sum of its proper divisors (1).

190035679616681 is an equidigital number, since it uses as much as digits as its factorization.

190035679616681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 88179840, while the sum is 68.

The spelling of 190035679616681 in words is "one hundred ninety trillion, thirty-five billion, six hundred seventy-nine million, six hundred sixteen thousand, six hundred eighty-one".