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3116922072 = 2331113786179
BaseRepresentation
bin1011100111001000…
…0111010011011000
322001020001001021020
42321302013103120
522340413001242
61233142242440
7140145254235
oct27162072330
98036031236
103116922072
11135a46a760
1272ba26420
133a89a14b4
14217d6078c
1513398c6ec
hexb9c874d8

3116922072 has 64 divisors (see below), whose sum is σ = 8562844800. Its totient is φ = 937616640.

The previous prime is 3116922047. The next prime is 3116922079. The reversal of 3116922072 is 2702296113.

3116922072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116922079) 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, 6922 + ... + 79257.

It is an arithmetic number, because the mean of its divisors is an integer number (133794450).

Almost surely, 23116922072 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 3116922072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281422400).

3116922072 is an abundant number, since it is smaller than the sum of its proper divisors (5445922728).

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

3116922072 is a wasteful number, since it uses less digits than its factorization.

3116922072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86336 (or 86332 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3116922072 is about 55829.4015013595. The cubic root of 3116922072 is about 1460.7480485138.

The spelling of 3116922072 in words is "three billion, one hundred sixteen million, nine hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 264 274 411 548 822 1096 1507 1644 3014 3288 4521 6028 9042 12056 18084 36168 86179 172358 258537 344716 517074 689432 947969 1034148 1895938 2068296 2843907 3791876 5687814 7583752 11375628 11806523 22751256 23613046 35419569 47226092 70839138 94452184 129871753 141678276 259743506 283356552 389615259 519487012 779230518 1038974024 1558461036 3116922072