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72078002143 = 7171933138329
BaseRepresentation
bin100001100100000101…
…1110000011111011111
320220001020110212220221
41003020023300133133
52140103432032033
653040121422211
75131105623640
oct1031013603737
9226036425827
1072078002143
1128628175914
1211b7693a967
136a48b02914
1436ba9b76c7
151d1cc8012d
hex10c82f07df

72078002143 has 16 divisors (see below), whose sum is σ = 87672386880. Its totient is φ = 57845661696.

The previous prime is 72078002099. The next prime is 72078002153. The reversal of 72078002143 is 34120087027.

It is a cyclic number.

It is not a de Polignac number, because 72078002143 - 217 = 72077871071 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72078002099 and 72078002108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72078002153) 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 15 ways as a sum of consecutive naturals, for example, 1546198 + ... + 1592131.

It is an arithmetic number, because the mean of its divisors is an integer number (5479524180).

Almost surely, 272078002143 is an apocalyptic number.

72078002143 is a deficient number, since it is larger than the sum of its proper divisors (15594384737).

72078002143 is a wasteful number, since it uses less digits than its factorization.

72078002143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138546.

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 72078002143 in words is "seventy-two billion, seventy-eight million, two thousand, one hundred forty-three".

Divisors: 1 7 17 119 193 1351 3281 22967 3138329 21968303 53351593 373461151 605697497 4239882479 10296857449 72078002143