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10429432848 = 243272426617
BaseRepresentation
bin10011011011010010…
…01000010000010000
3222220211211002020200
421231221020100100
5132324413322343
64442522535200
7516310500522
oct115551102020
928824732220
1010429432848
11447216329a
122030967500
13ca2965853
1470d1c9a12
154109374d3
hex26da48410

10429432848 has 30 divisors (see below), whose sum is σ = 29187927054. Its totient is φ = 3476477568.

The previous prime is 10429432841. The next prime is 10429432879. The reversal of 10429432848 is 84823492401.

It can be written as a sum of positive squares in only one way, i.e., 9720382464 + 709050384 = 98592^2 + 26628^2 .

It is a super-2 number, since 2×104294328482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10429432841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36213165 + ... + 36213452.

Almost surely, 210429432848 is an apocalyptic number.

10429432848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10429432848 is an abundant number, since it is smaller than the sum of its proper divisors (18758494206).

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

10429432848 is a wasteful number, since it uses less digits than its factorization.

10429432848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72426631 (or 72426622 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10429432848 in words is "ten billion, four hundred twenty-nine million, four hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 72426617 144853234 217279851 289706468 434559702 579412936 651839553 869119404 1158825872 1303679106 1738238808 2607358212 3476477616 5214716424 10429432848