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10299242832 = 243268379973
BaseRepresentation
bin10011001011110000…
…11111100101010000
3222120202211202010020
421211320133211100
5132043101232312
64421552303440
7513140056014
oct114570374520
928522752106
1010299242832
11440572163a
121bb5241b80
13c819b1738
146d9bba544
154042bc78c
hex265e1f950

10299242832 has 40 divisors (see below), whose sum is σ = 26616626784. Its totient is φ = 3431758464.

The previous prime is 10299242791. The next prime is 10299242839. The reversal of 10299242832 is 23824299201.

10299242832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10299242839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88798 + ... + 168770.

Almost surely, 210299242832 is an apocalyptic number.

10299242832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10299242832 is an abundant number, since it is smaller than the sum of its proper divisors (16317383952).

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

10299242832 is a wasteful number, since it uses less digits than its factorization.

10299242832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82667 (or 82661 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10299242832 in words is "ten billion, two hundred ninety-nine million, two hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2683 5366 8049 10732 16098 21464 32196 42928 64392 79973 128784 159946 239919 319892 479838 639784 959676 1279568 1919352 3838704 214567559 429135118 643702677 858270236 1287405354 1716540472 2574810708 3433080944 5149621416 10299242832