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38000313117 = 3213324789001
BaseRepresentation
bin100011011000111111…
…101100001100011101
310122002022021220210100
4203120333230030131
51110311040004432
625242422331313
72513453221614
oct433077541435
9118068256710
1038000313117
1115130205758
127446289b39
1337779b78a0
141ba6b9487b
15ec618707c
hex8d8fec31d

38000313117 has 12 divisors (see below), whose sum is σ = 59111598364. Its totient is φ = 23384808000.

The previous prime is 38000313103. The next prime is 38000313119. The reversal of 38000313117 is 71131300083.

It can be written as a sum of positive squares in 2 ways, for example, as 3429976356 + 34570336761 = 58566^2 + 185931^2 .

It is not a de Polignac number, because 38000313117 - 219 = 37999788829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38000313119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162394384 + ... + 162394617.

Almost surely, 238000313117 is an apocalyptic number.

It is an amenable number.

38000313117 is a deficient number, since it is larger than the sum of its proper divisors (21111285247).

38000313117 is a wasteful number, since it uses less digits than its factorization.

38000313117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324789020 (or 324789017 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 38000313117 in words is "thirty-eight billion, three hundred thirteen thousand, one hundred seventeen".

Divisors: 1 3 9 13 39 117 324789001 974367003 2923101009 4222257013 12666771039 38000313117