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72834219133 = 1337151422493
BaseRepresentation
bin100001111010101000…
…0011111110001111101
320221222221102200121121
41003311100133301331
52143131030003013
653243134030541
75155620435124
oct1036520376175
9227887380547
1072834219133
1128986021935
1212148048451
136b396960b0
14374d1c6abb
151d6435958d
hex10f541fc7d

72834219133 has 8 divisors (see below), whose sum is σ = 80556766808. Its totient is φ = 65414516544.

The previous prime is 72834219103. The next prime is 72834219149. The reversal of 72834219133 is 33191243827.

It can be written as a sum of positive squares in 4 ways, for example, as 12072955129 + 60761264004 = 109877^2 + 246498^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-72834219133 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 72834219133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72834219103) 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, 75710766 + ... + 75711727.

It is an arithmetic number, because the mean of its divisors is an integer number (10069595851).

Almost surely, 272834219133 is an apocalyptic number.

It is an amenable number.

72834219133 is a deficient number, since it is larger than the sum of its proper divisors (7722547675).

72834219133 is a wasteful number, since it uses less digits than its factorization.

72834219133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151422543.

The product of its digits is 217728, while the sum is 43.

The spelling of 72834219133 in words is "seventy-two billion, eight hundred thirty-four million, two hundred nineteen thousand, one hundred thirty-three".

Divisors: 1 13 37 481 151422493 1968492409 5602632241 72834219133