Search a number
-
+
29632266976 = 2513174190083
BaseRepresentation
bin11011100110001110…
…001000001011100000
32211111010100010111111
4123212032020023200
5441141330020401
621340214153104
72066213053624
oct334616101340
984433303444
1029632266976
1111626707844
1258ab952794
132a431405b0
141611683184
15b866dae51
hex6e63882e0

29632266976 has 48 divisors (see below), whose sum is σ = 66521773584. Its totient is φ = 12871931904.

The previous prime is 29632266871. The next prime is 29632266991. The reversal of 29632266976 is 67966223692.

It is a happy number.

It is a super-2 number, since 2×296322669762 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29632266976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2087970 + ... + 2102113.

It is an arithmetic number, because the mean of its divisors is an integer number (1385870283).

Almost surely, 229632266976 is an apocalyptic number.

29632266976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

29632266976 is an abundant number, since it is smaller than the sum of its proper divisors (36889506608).

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

29632266976 is a wasteful number, since it uses less digits than its factorization.

29632266976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190123 (or 4190115 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 58.

The spelling of 29632266976 in words is "twenty-nine billion, six hundred thirty-two million, two hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 4190083 8380166 16760332 33520664 54471079 67041328 71231411 108942158 134082656 142462822 217884316 284925644 435768632 569851288 871537264 926008343 1139702576 1743074528 1852016686 2279405152 3704033372 7408066744 14816133488 29632266976