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5195045052 = 2233234434721
BaseRepresentation
bin1001101011010011…
…00001100010111100
3111102001101122002000
410311221201202330
541114412420202
62215255502300
7242511103641
oct46551414274
914361348060
105195045052
11222651626a
12100b987990
1364a39c772
14373d53dc8
1520613291c
hex135a618bc

5195045052 has 96 divisors (see below), whose sum is σ = 14088936960. Its totient is φ = 1652302080.

The previous prime is 5195045041. The next prime is 5195045057. The reversal of 5195045052 is 2505405915.

5195045052 is a `hidden beast` number, since 51 + 9 + 504 + 50 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5195044998 and 5195045016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5195045057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098052 + ... + 1102772.

It is an arithmetic number, because the mean of its divisors is an integer number (146759760).

Almost surely, 25195045052 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 5195045052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044468480).

5195045052 is an abundant number, since it is smaller than the sum of its proper divisors (8893891908).

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

5195045052 is a wasteful number, since it uses less digits than its factorization.

5195045052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 5195045052 is about 72076.6609381983. The cubic root of 5195045052 is about 1731.9277576376.

The spelling of 5195045052 in words is "five billion, one hundred ninety-five million, forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 443 621 828 886 1242 1329 1772 2484 2658 3987 4721 5316 7974 9442 10189 11961 14163 15948 18884 20378 23922 28326 30567 40756 42489 47844 56652 61134 84978 91701 108583 122268 127467 169956 183402 217166 254934 275103 325749 366804 434332 509868 550206 651498 977247 1100412 1302996 1954494 2091403 2931741 3908988 4182806 5863482 6274209 8365612 11726964 12548418 18822627 25096836 37645254 48102269 56467881 75290508 96204538 112935762 144306807 192409076 225871524 288613614 432920421 577227228 865840842 1298761263 1731681684 2597522526 5195045052