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42253200432 = 2432833535241
BaseRepresentation
bin100111010110011111…
…001010110000110000
311001001200211222102100
4213112133022300300
51143013304403212
631224424420400
73024034164162
oct472637126060
9131050758370
1042253200432
1116a12914963
128232617700
133ca4b1cc61
14208b936932
151174711bdc
hex9d67cac30

42253200432 has 60 divisors (see below), whose sum is σ = 119675012184. Its totient is φ = 13914704640.

The previous prime is 42253200413. The next prime is 42253200527. The reversal of 42253200432 is 23400235224.

It is a happy number.

42253200432 is a `hidden beast` number, since 4 + 2 + 25 + 3 + 200 + 432 = 666.

42253200432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42253200396 and 42253200405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1755669 + ... + 1779572.

Almost surely, 242253200432 is an apocalyptic number.

It is an amenable number.

42253200432 is an abundant number, since it is smaller than the sum of its proper divisors (77421811752).

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

42253200432 is a wasteful number, since it uses less digits than its factorization.

42253200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535338 (or 3535329 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42253200432 its reverse (23400235224), we get a palindrome (65653435656).

The spelling of 42253200432 in words is "forty-two billion, two hundred fifty-three million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952 3535241 7070482 10605723 14140964 21211446 28281928 31817169 42422892 56563856 63634338 84845784 127268676 169691568 254537352 293425003 509074704 586850006 880275009 1173700012 1760550018 2347400024 2640825027 3521100036 4694800048 5281650054 7042200072 10563300108 14084400144 21126600216 42253200432