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72883890001 = 13113269184441
BaseRepresentation
bin100001111100000110…
…1111110011101010001
320222010101220020020101
41003320031332131101
52143231233440001
653252110412401
75160062562136
oct1037015763521
9228111806211
1072883890001
1128a0106833a
1212160801101
136b46a67740
143755a3658d
151d688bba01
hex10f837e751

72883890001 has 16 divisors (see below), whose sum is σ = 79479746640. Its totient is φ = 66433812480.

The previous prime is 72883889987. The next prime is 72883890007. The reversal of 72883890001 is 10009838827.

It can be written as a sum of positive squares in 8 ways, for example, as 13128576400 + 59755313601 = 114580^2 + 244449^2 .

It is a cyclic number.

It is not a de Polignac number, because 72883890001 - 221 = 72881792849 is a prime.

It is a super-2 number, since 2×728838900012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72883890007) 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, 302941 + ... + 487381.

It is an arithmetic number, because the mean of its divisors is an integer number (4967484165).

Almost surely, 272883890001 is an apocalyptic number.

It is an amenable number.

72883890001 is a deficient number, since it is larger than the sum of its proper divisors (6595856639).

72883890001 is a wasteful number, since it uses less digits than its factorization.

72883890001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184836.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 72883890001 in words is "seventy-two billion, eight hundred eighty-three million, eight hundred ninety thousand, one".

Divisors: 1 13 113 269 1469 3497 30397 184441 395161 2397733 20841833 49614629 270943829 644990177 5606453077 72883890001