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72114409535 = 576133777241
BaseRepresentation
bin100001100101001011…
…0101001000000111111
320220010202222120110212
41003022112221000333
52140142242101120
653043502023035
75132030236640
oct1031226510077
9226122876425
1072114409535
1128646782273
1211b86b77a7b
136a5350c15c
1436c17736c7
151d210726c5
hex10ca5a903f

72114409535 has 16 divisors (see below), whose sum is σ = 100521072192. Its totient is φ = 48639225600.

The previous prime is 72114409531. The next prime is 72114409603. The reversal of 72114409535 is 53590441127.

It is not a de Polignac number, because 72114409535 - 22 = 72114409531 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72114409492 and 72114409501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72114409531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16886486 + ... + 16890755.

It is an arithmetic number, because the mean of its divisors is an integer number (6282567012).

Almost surely, 272114409535 is an apocalyptic number.

72114409535 is a deficient number, since it is larger than the sum of its proper divisors (28406662657).

72114409535 is a wasteful number, since it uses less digits than its factorization.

72114409535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33777314.

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 72114409535 in words is "seventy-two billion, one hundred fourteen million, four hundred nine thousand, five hundred thirty-five".

Divisors: 1 5 7 35 61 305 427 2135 33777241 168886205 236440687 1182203435 2060411701 10302058505 14422881907 72114409535