Search a number
-
+
5155850112 = 27375693371
BaseRepresentation
bin1001100110101000…
…00000011110000000
3111022022122022201120
410303110000132000
541024344200422
62211335432240
7241524000660
oct46324003600
914268568646
105155850112
112206385556
12bba825680
136422284aa
1436ca701a0
1520298e45c
hex133500780

5155850112 has 128 divisors (see below), whose sum is σ = 15683846400. Its totient is φ = 1470074880.

The previous prime is 5155850111. The next prime is 5155850143. The reversal of 5155850112 is 2110585515.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5155850111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527787 + ... + 1531157.

It is an arithmetic number, because the mean of its divisors is an integer number (122530050).

Almost surely, 25155850112 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 5155850112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841923200).

5155850112 is an abundant number, since it is smaller than the sum of its proper divisors (10527996288).

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

5155850112 is a wasteful number, since it uses less digits than its factorization.

5155850112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 33.

The square root of 5155850112 is about 71804.2485651093. The cubic root of 5155850112 is about 1727.5611454137.

The spelling of 5155850112 in words is "five billion, one hundred fifty-five million, eight hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 569 672 896 1138 1344 1707 2276 2688 3371 3414 3983 4552 6742 6828 7966 9104 10113 11949 13484 13656 15932 18208 20226 23597 23898 26968 27312 31864 36416 40452 47194 47796 53936 54624 63728 70791 72832 80904 94388 95592 107872 109248 127456 141582 161808 188776 191184 215744 218496 254912 283164 323616 377552 382368 431488 509824 566328 647232 755104 764736 1132656 1294464 1510208 1529472 1918099 2265312 3020416 3836198 4530624 5754297 7672396 9061248 11508594 13426693 15344792 23017188 26853386 30689584 40280079 46034376 53706772 61379168 80560158 92068752 107413544 122758336 161120316 184137504 214827088 245516672 322240632 368275008 429654176 644481264 736550016 859308352 1288962528 1718616704 2577925056 5155850112