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246933906968 = 23710151718443
BaseRepresentation
bin1110010111111001101…
…0000110011000011000
3212121101020201012012002
43211332122012120120
513021210040010333
6305235002340132
723561152402010
oct3457632063030
9777336635162
10246933906968
11957a6831171
123ba357ba648
131a393aa6268
14bd47522c40
156653a6c0e8
hex397e686618

246933906968 has 64 divisors (see below), whose sum is σ = 534549784320. Its totient is φ = 104748336000.

The previous prime is 246933906959. The next prime is 246933906983. The reversal of 246933906968 is 869609339642.

246933906968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29242955 + ... + 29251397.

It is an arithmetic number, because the mean of its divisors is an integer number (8352340380).

Almost surely, 2246933906968 is an apocalyptic number.

246933906968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246933906968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267274892160).

246933906968 is an abundant number, since it is smaller than the sum of its proper divisors (287615877352).

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

246933906968 is a wasteful number, since it uses less digits than its factorization.

246933906968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13724 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 65.

The spelling of 246933906968 in words is "two hundred forty-six billion, nine hundred thirty-three million, nine hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1414 2828 5171 5656 8443 10342 16886 20684 33772 36197 41368 59101 67544 72394 118202 144788 236404 289576 472808 522271 852743 1044542 1705486 2089084 3410972 3655897 4178168 5969201 6821944 7311794 11938402 14623588 23876804 29247176 43658753 47753608 87317506 174635012 305611271 349270024 611222542 1222445084 2444890168 4409534053 8819068106 17638136212 30866738371 35276272424 61733476742 123466953484 246933906968