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3138161936 = 2471310212111
BaseRepresentation
bin1011101100001100…
…1000110100010000
322002201000010212212
42323003020310100
522411332140221
61235221411252
7140523636110
oct27303106420
98081003785
103138161936
111370457568
12736b69b28
133b01ca070
1421aacd040
15135785b5b
hexbb0c8d10

3138161936 has 80 divisors (see below), whose sum is σ = 7494187008. Its totient is φ = 1239667200.

The previous prime is 3138161911. The next prime is 3138161953. The reversal of 3138161936 is 6391618313.

It is a junction number, because it is equal to n+sod(n) for n = 3138161893 and 3138161902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485521 + ... + 1487631.

Almost surely, 23138161936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138161936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747093504).

3138161936 is an abundant number, since it is smaller than the sum of its proper divisors (4356025072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3138161936 is a wasteful number, since it uses less digits than its factorization.

3138161936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3154 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 3138161936 is about 56019.2996743087. The cubic root of 3138161936 is about 1464.0585666399.

The spelling of 3138161936 in words is "three billion, one hundred thirty-eight million, one hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1021 1456 2042 2111 4084 4222 7147 8168 8444 13273 14294 14777 16336 16888 26546 27443 28588 29554 33776 53092 54886 57176 59108 92911 106184 109772 114352 118216 185822 192101 212368 219544 236432 371644 384202 439088 743288 768404 1486576 1536808 2155331 3073616 4310662 8621324 15087317 17242648 28019303 30174634 34485296 56038606 60349268 112077212 120698536 196135121 224154424 241397072 392270242 448308848 784540484 1569080968 3138161936