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72632142047 = 1132692389451
BaseRepresentation
bin100001110100100110…
…1101000100011011111
320221110212012002222002
41003221031220203133
52142222312021142
653211114512515
75150615010113
oct1035115504337
9227425162862
1072632142047
1128891a50383
12120b043573b
136b0686255a
143730423743
151d5173ea32
hex10e93688df

72632142047 has 8 divisors (see below), whose sum is σ = 73547332560. Its totient is φ = 71721731200.

The previous prime is 72632142029. The next prime is 72632142059. The reversal of 72632142047 is 74024123627.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72632142047 - 230 = 71558400223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72632142047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72632142097) by changing a digit.

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, 1164329 + ... + 1225122.

It is an arithmetic number, because the mean of its divisors is an integer number (9193416570).

Almost surely, 272632142047 is an apocalyptic number.

72632142047 is a deficient number, since it is larger than the sum of its proper divisors (915190513).

72632142047 is a wasteful number, since it uses less digits than its factorization.

72632142047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389833.

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 72632142047 in words is "seventy-two billion, six hundred thirty-two million, one hundred forty-two thousand, forty-seven".

Divisors: 1 113 269 30397 2389451 270007963 642762319 72632142047