Search a number
-
+
5034931956 = 22321749916487
BaseRepresentation
bin1001011000001101…
…01111011011110100
3110222220010001012100
410230012233123310
540302420310311
62151340022100
7235525133625
oct45406573364
913886101170
105034931956
1121540a699a
12b86231930
1362316c6a2
1435a995a4c
151e7056a56
hex12c1af6f4

5034931956 has 72 divisors (see below), whose sum is σ = 13503672000. Its totient is φ = 1576325376.

The previous prime is 5034931949. The next prime is 5034932027. The reversal of 5034931956 is 6591394305.

5034931956 is a `hidden beast` number, since 503 + 4 + 93 + 1 + 9 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297145 + ... + 313631.

It is an arithmetic number, because the mean of its divisors is an integer number (187551000).

Almost surely, 25034931956 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 5034931956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751836000).

5034931956 is an abundant number, since it is smaller than the sum of its proper divisors (8468740044).

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

5034931956 is a wasteful number, since it uses less digits than its factorization.

5034931956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17013 (or 17008 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 5034931956 is about 70957.2544282824. The cubic root of 5034931956 is about 1713.9488957676.

The spelling of 5034931956 in words is "five billion, thirty-four million, nine hundred thirty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 499 612 998 1497 1996 2994 4491 5988 8483 8982 16487 16966 17964 25449 32974 33932 49461 50898 65948 76347 98922 101796 148383 152694 197844 280279 296766 305388 560558 593532 840837 1121116 1681674 2522511 3363348 5045022 8227013 10090044 16454026 24681039 32908052 49362078 74043117 98724156 139859221 148086234 279718442 296172468 419577663 559436884 839155326 1258732989 1678310652 2517465978 5034931956