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2768468471352 = 233238450950991
BaseRepresentation
bin101000010010010101100…
…101000110111000111000
3100210122220022211222020100
4220102111211012320320
5330324310412040402
65515452235155400
7404005141510113
oct50222545067070
910718808758210
102768468471352
119781123073a1
1238866a5a5b60
131710b0a6798c
1497dcd21b57a
154c032ebe71c
hex28495946e38

2768468471352 has 24 divisors (see below), whose sum is σ = 7497935443440. Its totient is φ = 922822823760.

The previous prime is 2768468471341. The next prime is 2768468471383. The reversal of 2768468471352 is 2531748648672.

2768468471352 is a `hidden beast` number, since 2 + 76 + 8 + 4 + 68 + 471 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×27684684713524 (a number of 51 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2768468471352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19225475424 + ... + 19225475567.

It is an arithmetic number, because the mean of its divisors is an integer number (312413976810).

Almost surely, 22768468471352 is an apocalyptic number.

It is an amenable number.

2768468471352 is an abundant number, since it is smaller than the sum of its proper divisors (4729466972088).

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

2768468471352 is a wasteful number, since it uses less digits than its factorization.

2768468471352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38450951003 (or 38450950996 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 2768468471352 in words is "two trillion, seven hundred sixty-eight billion, four hundred sixty-eight million, four hundred seventy-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 38450950991 76901901982 115352852973 153803803964 230705705946 307607607928 346058558919 461411411892 692117117838 922822823784 1384234235676 2768468471352