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829038275420 = 22576953903659
BaseRepresentation
bin11000001000001101000…
…10000010101101011100
32221020220002202222020212
430010012202002231130
5102040332244303140
61432504355231552
7113616225033065
oct14040642025534
92836802688225
10829038275420
1129a658547923
1211480b2a85b8
1360241016174
142c1a8b8756c
151687279a765
hexc106882b5c

829038275420 has 24 divisors (see below), whose sum is σ = 1743244364400. Its totient is φ = 331184074752.

The previous prime is 829038275419. The next prime is 829038275423. The reversal of 829038275420 is 24572830928.

It is a happy number.

It is a super-2 number, since 2×8290382754202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829038275423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26936450 + ... + 26967209.

It is an arithmetic number, because the mean of its divisors is an integer number (72635181850).

Almost surely, 2829038275420 is an apocalyptic number.

It is an amenable number.

829038275420 is an abundant number, since it is smaller than the sum of its proper divisors (914206088980).

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

829038275420 is a wasteful number, since it uses less digits than its factorization.

829038275420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53904437 (or 53904435 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 829038275420 in words is "eight hundred twenty-nine billion, thirty-eight million, two hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 769 1538 3076 3845 7690 15380 53903659 107807318 215614636 269518295 539036590 1078073180 41451913771 82903827542 165807655084 207259568855 414519137710 829038275420