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3106892992 = 26723614943
BaseRepresentation
bin1011100100101111…
…0110110011000000
322000112011111221211
42321023312303000
522330331033432
61232143255504
7136664104030
oct27113666300
98015144854
103106892992
11135483a765
127285aa594
133a689c628
142168ad8c0
15132b5ad47
hexb92f6cc0

3106892992 has 112 divisors (see below), whose sum is σ = 7474378752. Its totient is φ = 1252500480.

The previous prime is 3106892983. The next prime is 3106893001. The reversal of 3106892992 is 2992986013.

3106892992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3106892983) and next prime (3106893001).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626073 + ... + 631015.

Almost surely, 23106892992 is an apocalyptic number.

3106892992 is a gapful number since it is divisible by the number (32) 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 3106892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737189376).

3106892992 is an abundant number, since it is smaller than the sum of its proper divisors (4367485760).

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

3106892992 is a wasteful number, since it uses less digits than its factorization.

3106892992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 3106892992 is about 55739.5101521354. The cubic root of 3106892992 is about 1459.1796529910.

The spelling of 3106892992 in words is "three billion, one hundred six million, eight hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 61 64 92 112 122 161 184 224 244 322 368 427 448 488 644 736 854 976 1288 1403 1472 1708 1952 2576 2806 3416 3904 4943 5152 5612 6832 9821 9886 10304 11224 13664 19642 19772 22448 27328 34601 39284 39544 44896 69202 78568 79088 89792 113689 138404 157136 158176 227378 276808 301523 314272 316352 454756 553616 603046 628544 795823 909512 1107232 1206092 1591646 1819024 2110661 2214464 2412184 3183292 3638048 4221322 4824368 6366584 6935029 7276096 8442644 9648736 12733168 13870058 16885288 19297472 25466336 27740116 33770576 48545203 50932672 55480232 67541152 97090406 110960464 135082304 194180812 221920928 388361624 443841856 776723248 1553446496 3106892992