Search a number
-
+
42648192185733 = 329772767197323
BaseRepresentation
bin10011011001001110011100…
…10110000111010110000101
312121000010102211201121102200
421230213032112013112011
521042221444144420413
6230412150425225113
711661141650161041
oct1154471626072605
9177003384647380
1042648192185733
1112652aa671a922
124949609332199
131aa4926b31264
14a7627d7d1021
154de59d85d573
hex26c9ce587585

42648192185733 has 24 divisors (see below), whose sum is σ = 62323636484928. Its totient is φ = 28100307324672.

The previous prime is 42648192185659. The next prime is 42648192185743. The reversal of 42648192185733 is 33758129184624.

It is a happy number.

42648192185733 is a `hidden beast` number, since 4 + 2 + 6 + 48 + 1 + 9 + 2 + 18 + 573 + 3 = 666.

42648192185733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42648192185733 - 222 = 42648187991429 is a prime.

It is a super-2 number, since 2×426481921857332 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648192185743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32963991 + ... + 34233332.

It is an arithmetic number, because the mean of its divisors is an integer number (2596818186872).

Almost surely, 242648192185733 is an apocalyptic number.

It is an amenable number.

42648192185733 is a deficient number, since it is larger than the sum of its proper divisors (19675444299195).

42648192185733 is a wasteful number, since it uses less digits than its factorization.

42648192185733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67198153 (or 67198150 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 42648192185733 in words is "forty-two trillion, six hundred forty-eight billion, one hundred ninety-two million, one hundred eighty-five thousand, seven hundred thirty-three".

Divisors: 1 3 9 97 291 727 873 2181 6543 70519 211557 634671 67197323 201591969 604775907 6518140331 19554420993 48852453821 58663262979 146557361463 439672084389 4738688020637 14216064061911 42648192185733