Search a number
-
+
5165456196 = 2232383443509
BaseRepresentation
bin1001100111110001…
…01001101101000100
3111022222201100210110
410303320221231010
541034324044241
62212321353020
7242001440025
oct46370515504
914288640713
105165456196
11221084676a
121001a98770
1364420c974
14370050c4c
1520373a816
hex133e29b44

5165456196 has 96 divisors (see below), whose sum is σ = 12782085120. Its totient is φ = 1620251776.

The previous prime is 5165456183. The next prime is 5165456201. The reversal of 5165456196 is 6916545615.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10147990 + ... + 10148498.

It is an arithmetic number, because the mean of its divisors is an integer number (133146720).

Almost surely, 25165456196 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 5165456196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391042560).

5165456196 is an abundant number, since it is smaller than the sum of its proper divisors (7616628924).

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

5165456196 is a wasteful number, since it uses less digits than its factorization.

5165456196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1063 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 5165456196 is about 71871.1082146366. The cubic root of 5165456196 is about 1728.6333773721.

The spelling of 5165456196 in words is "five billion, one hundred sixty-five million, four hundred fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 443 498 509 886 996 1018 1329 1527 1772 1909 2036 2658 3054 3818 5316 5727 6108 7636 10189 11454 11707 20378 22908 23414 30567 35121 36769 40756 42247 46828 61134 70242 73538 84494 110307 122268 126741 140484 147076 168988 220614 225487 253482 441228 450974 506964 676461 845687 901948 971681 1352922 1691374 1943362 2537061 2705844 2915043 3382748 3886724 5074122 5186201 5830086 10148244 10372402 11660172 15558603 18715421 20744804 31117206 37430842 56146263 62234412 74861684 112292526 224585052 430454683 860909366 1291364049 1721818732 2582728098 5165456196