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72946944127 = 4733134713513
BaseRepresentation
bin100001111101111111…
…0100000100001111111
320222021210112201020101
41003323332200201333
52143343404203002
653302242101531
75161456536331
oct1037376404177
9228253481211
1072946944127
1128a33714892
121217994a8a7
136b56b43885
14376016b451
151d6e1c4587
hex10fbfa087f

72946944127 has 16 divisors (see below), whose sum is σ = 74944968192. Its totient is φ = 70968807360.

The previous prime is 72946944107. The next prime is 72946944167. The reversal of 72946944127 is 72144964927.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72946944127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72946944107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5391523 + ... + 5405035.

It is an arithmetic number, because the mean of its divisors is an integer number (4684060512).

Almost surely, 272946944127 is an apocalyptic number.

72946944127 is a deficient number, since it is larger than the sum of its proper divisors (1998024065).

72946944127 is a wasteful number, since it uses less digits than its factorization.

72946944127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14238.

The product of its digits is 6096384, while the sum is 55.

The spelling of 72946944127 in words is "seventy-two billion, nine hundred forty-six million, nine hundred forty-four thousand, one hundred twenty-seven".

Divisors: 1 47 331 347 13513 15557 16309 114857 635111 4472803 4689011 5398279 210221741 220383517 1552062641 72946944127