Search a number
-
+
133456242651021 = 32711723272944417
BaseRepresentation
bin11110010110000010110011…
…111011111010111110001101
3122111112021220000022122010200
4132112002303323322332031
5114443021341104313041
61151500541304524113
740052616050414223
oct3626026373727615
9574467800278120
10133456242651021
1139583524863474
1212b74869780639
135960b3c8ca584
1424d5460abcb13
1510667831451b6
hex7960b3efaf8d

133456242651021 has 48 divisors (see below), whose sum is σ = 195674736216960. Its totient is φ = 87632711147520.

The previous prime is 133456242650999. The next prime is 133456242651023. The reversal of 133456242651021 is 120156242654331.

133456242651021 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 5 + 624 + 2 + 6 + 5 + 10 + 2 + 1 = 666.

It is not a de Polignac number, because 133456242651021 - 27 = 133456242650893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133456242651023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3004598605 + ... + 3004643021.

It is an arithmetic number, because the mean of its divisors is an integer number (4076557004520).

Almost surely, 2133456242651021 is an apocalyptic number.

It is an amenable number.

133456242651021 is a deficient number, since it is larger than the sum of its proper divisors (62218493565939).

133456242651021 is a wasteful number, since it uses less digits than its factorization.

133456242651021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48946 (or 48943 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 133456242651021 in words is "one hundred thirty-three trillion, four hundred fifty-six billion, two hundred forty-two million, six hundred fifty-one thousand, twenty-one".

Divisors: 1 3 9 71 213 639 1723 2729 5169 8187 15507 24561 44417 122333 133251 193759 366999 399753 581277 1100997 1743831 3153607 4702067 9460821 14106201 28382463 42318603 76530491 121213993 229591473 333846757 363641979 688774419 1001540271 1090925937 3004620813 5433664861 8606193503 16300994583 25818580509 48902983749 77455741527 208851709939 626555129817 1879665389451 14828471405669 44485414217007 133456242651021