Search a number
-
+
76538886672213 = 32783213123712897
BaseRepresentation
bin10001011001110010011001…
…001001101100111101010101
3101001000001020121111122211100
4101121302121021230331111
540013003114442002323
6430441251254100313
722056515651212020
oct2131623111547525
9331001217448740
1076538886672213
1122429a611863a9
1287018ba34a699
1333927806ca984
1414c87052381b7
158cae4347d943
hex459c9926cf55

76538886672213 has 96 divisors (see below), whose sum is σ = 128030337856512. Its totient is φ = 43156166515200.

The previous prime is 76538886672173. The next prime is 76538886672221. The reversal of 76538886672213 is 31227668883567.

76538886672213 is a `hidden beast` number, since 7 + 6 + 538 + 8 + 8 + 6 + 6 + 72 + 2 + 13 = 666.

It is not a de Polignac number, because 76538886672213 - 28 = 76538886671957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76538886672013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26420049181 + ... + 26420052077.

It is an arithmetic number, because the mean of its divisors is an integer number (1333649352672).

Almost surely, 276538886672213 is an apocalyptic number.

It is an amenable number.

76538886672213 is a deficient number, since it is larger than the sum of its proper divisors (51491451184299).

76538886672213 is a wasteful number, since it uses less digits than its factorization.

76538886672213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7495 (or 7492 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 76538886672213 in words is "seventy-six trillion, five hundred thirty-eight billion, eight hundred eighty-six million, six hundred seventy-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 2131 2371 2897 5229 6393 7113 8691 14917 16597 19179 20279 21339 26073 44751 49791 60837 134253 149373 176873 182511 196793 240451 530619 590379 721353 1238111 1377551 1591857 1683157 1771137 2164059 3714333 4132653 5049471 5052601 6173507 6868787 11142999 12397959 15148413 15157803 18520521 20606361 35368207 43214549 45473409 48081509 55561563 61819083 106104621 129643647 144244527 318313863 388930941 419365883 432733581 512401081 570109321 1258097649 1537203243 1710327963 2935561181 3586807567 3774292947 3990765247 4611609729 5130983889 8806683543 10760422701 11972295741 14637385097 26420050629 32281268103 35916887223 43912155291 102461695679 131736465873 307385087037 922155261111 1214902963051 3644708889153 8504320741357 10934126667459 25512962224071 76538886672213