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3112881156 = 22327117971409
BaseRepresentation
bin1011100110001010…
…1100110000000100
322000221102202011200
42321202230300010
522333344144111
61232515502500
7140066024160
oct27142546004
98027382150
103112881156
11135815a760
1272a5b7a30
133a7bb8118
142175cbca0
15133440256
hexb98acc04

3112881156 has 144 divisors (see below), whose sum is σ = 9829572480. Its totient is φ = 806952960.

The previous prime is 3112881143. The next prime is 3112881221. The reversal of 3112881156 is 6511882113.

3112881156 is a `hidden beast` number, since 311 + 288 + 11 + 56 = 666.

3112881156 is a nontrivial binomial coefficient, being equal to C(78904, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3112881156.

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 47 ways as a sum of consecutive naturals, for example, 2208580 + ... + 2209988.

It is an arithmetic number, because the mean of its divisors is an integer number (68260920).

Almost surely, 23112881156 is an apocalyptic number.

3112881156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3112881156 is the 78903-rd triangular number and also the 39452-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112881156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914786240).

3112881156 is an abundant number, since it is smaller than the sum of its proper divisors (6716691324).

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

3112881156 is a wasteful number, since it uses less digits than its factorization.

3112881156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2229 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 3112881156 is about 55793.1999082325. The cubic root of 3112881156 is about 1460.1165160029.

The spelling of 3112881156 in words is "three billion, one hundred twelve million, eight hundred eighty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 797 924 1386 1409 1594 2391 2772 2818 3188 4227 4782 5579 5636 7173 8454 8767 9564 9863 11158 12681 14346 15499 16737 16908 17534 19726 22316 25362 26301 28692 29589 30998 33474 35068 39452 46497 50211 50724 52602 59178 61369 61996 66948 78903 88767 92994 100422 105204 108493 118356 122738 139491 157806 177534 184107 185988 200844 216986 245476 278982 315612 325479 355068 368214 433972 552321 557964 650958 736428 976437 1104642 1122973 1301916 1952874 2209284 2245946 3368919 3905748 4491892 6737838 7860811 10106757 12352703 13475676 15721622 20213514 23582433 24705406 31443244 37058109 40427028 47164866 49410812 70747299 74116218 86468921 94329732 111174327 141494598 148232436 172937842 222348654 259406763 282989196 345875684 444697308 518813526 778220289 1037627052 1556440578 3112881156