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3113367696 = 2432315911821
BaseRepresentation
bin1011100110010010…
…0011100010010000
322000222100110120200
42321210203202100
522334010231241
61232534135200
7140103121515
oct27144434220
98028313520
103113367696
11135846225a
1272a7b1500
133a802870a
142176b730c
151334d94b6
hexb9923890

3113367696 has 120 divisors (see below), whose sum is σ = 9147390720. Its totient is φ = 987206400.

The previous prime is 3113367689. The next prime is 3113367707. The reversal of 3113367696 is 6967633113.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 257466 + ... + 269286.

It is an arithmetic number, because the mean of its divisors is an integer number (76228256).

Almost surely, 23113367696 is an apocalyptic number.

3113367696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113367696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573695360).

3113367696 is an abundant number, since it is smaller than the sum of its proper divisors (6034023024).

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

3113367696 is a wasteful number, since it uses less digits than its factorization.

3113367696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11925 (or 11916 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 3113367696 is about 55797.5599466500. The cubic root of 3113367696 is about 1460.1925835907.

The spelling of 3113367696 in words is "three billion, one hundred thirteen million, three hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 59 62 72 93 118 124 144 177 186 236 248 279 354 372 472 496 531 558 708 744 944 1062 1116 1416 1488 1829 2124 2232 2832 3658 4248 4464 5487 7316 8496 10974 11821 14632 16461 21948 23642 29264 32922 35463 43896 47284 65844 70926 87792 94568 106389 131688 141852 189136 212778 263376 283704 366451 425556 567408 697439 732902 851112 1099353 1394878 1465804 1702224 2092317 2198706 2789756 2931608 3298059 4184634 4397412 5579512 5863216 6276951 6596118 8369268 8794824 11159024 12553902 13192236 16738536 17589648 21620609 25107804 26384472 33477072 43241218 50215608 52768944 64861827 86482436 100431216 129723654 172964872 194585481 259447308 345929744 389170962 518894616 778341924 1037789232 1556683848 3113367696