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72213433216 = 273671537241
BaseRepresentation
bin100001101000001000…
…0011000101110000000
320220101200022111102121
41003100100120232000
52140343114330331
653101400254024
75134342024501
oct1032020305600
9226350274377
1072213433216
1128697667221
1211bb4171314
136a6aba0452
1436d098cba8
151d29ad2c11
hex10d0418b80

72213433216 has 32 divisors (see below), whose sum is σ = 144254789280. Its totient is φ = 36008309760.

The previous prime is 72213433213. The next prime is 72213433231. The reversal of 72213433216 is 61233431227.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72213433211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 721645 + ... + 815596.

It is an arithmetic number, because the mean of its divisors is an integer number (4507962165).

Almost surely, 272213433216 is an apocalyptic number.

It is an amenable number.

72213433216 is a deficient number, since it is larger than the sum of its proper divisors (72041356064).

72213433216 is a wasteful number, since it uses less digits than its factorization.

72213433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537622 (or 1537610 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The spelling of 72213433216 in words is "seventy-two billion, two hundred thirteen million, four hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 367 734 1468 2936 5872 11744 23488 46976 1537241 3074482 6148964 12297928 24595856 49191712 98383424 196766848 564167447 1128334894 2256669788 4513339576 9026679152 18053358304 36106716608 72213433216