Search a number
-
+
29946431952384 = 29319496374969
BaseRepresentation
bin1101100111100011100100…
…11100000101011000000000
310221000211222022221222200120
412303301302130011120000
512411120243034434014
6143405111222020240
76210362333451243
oct663616234053000
9127024868858616
1029946431952384
1195a6235154022
12343799b577680
131392c233c8c5c
147575b4c2725a
1536de97084ba9
hex1b3c72705600

29946431952384 has 40 divisors (see below), whose sum is σ = 79779166377240. Its totient is φ = 9982143983616.

The previous prime is 29946431952379. The next prime is 29946431952431. The reversal of 29946431952384 is 48325913464992.

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 3 ways as a sum of consecutive naturals, for example, 9748185949 + ... + 9748189020.

It is an arithmetic number, because the mean of its divisors is an integer number (1994479159431).

Almost surely, 229946431952384 is an apocalyptic number.

29946431952384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29946431952384 is an abundant number, since it is smaller than the sum of its proper divisors (49832734424856).

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

29946431952384 is an equidigital number, since it uses as much as digits as its factorization.

29946431952384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19496374990 (or 19496374974 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 69.

The spelling of 29946431952384 in words is "twenty-nine trillion, nine hundred forty-six billion, four hundred thirty-one million, nine hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 19496374969 38992749938 58489124907 77985499876 116978249814 155970999752 233956499628 311941999504 467912999256 623883999008 935825998512 1247767998016 1871651997024 2495535996032 3743303994048 4991071992064 7486607988096 9982143984128 14973215976192 29946431952384