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42804388744 = 23131900121661
BaseRepresentation
bin100111110111010101…
…110010001110001000
311002111010000020122021
4213313111302032020
51200130410414434
631355234334224
73043506205165
oct476725621610
9132433006567
1042804388744
1117175a63897
12836712a374
1340620882a0
142100c1506c
1511a7cdbcb4
hex9f7572388

42804388744 has 32 divisors (see below), whose sum is σ = 86440478040. Its totient is φ = 19753920000.

The previous prime is 42804388673. The next prime is 42804388771. The reversal of 42804388744 is 44788340824.

It can be written as a sum of positive squares in 4 ways, for example, as 17606636100 + 25197752644 = 132690^2 + 158738^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 42804388691 and 42804388700.

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 7 ways as a sum of consecutive naturals, for example, 1965274 + ... + 1986934.

Almost surely, 242804388744 is an apocalyptic number.

It is an amenable number.

42804388744 is an abundant number, since it is smaller than the sum of its proper divisors (43636089296).

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

42804388744 is a wasteful number, since it uses less digits than its factorization.

42804388744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40681 (or 40677 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 52.

The spelling of 42804388744 in words is "forty-two billion, eight hundred four million, three hundred eighty-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 19001 21661 38002 43322 76004 86644 152008 173288 247013 281593 494026 563186 988052 1126372 1976104 2252744 411580661 823161322 1646322644 3292645288 5350548593 10701097186 21402194372 42804388744