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5246641314 = 2322931893643
BaseRepresentation
bin1001110001011100…
…10110010010100010
3111112122110222211200
410320232112102202
541221120010224
62224341422030
7244005500235
oct47056262242
914478428750
105246641314
112252657302
12102510a916
13657c965b5
1437ab4541c
1520a9255c9
hex138b964a2

5246641314 has 96 divisors (see below), whose sum is σ = 12278822400. Its totient is φ = 1615299840.

The previous prime is 5246641313. The next prime is 5246641321. The reversal of 5246641314 is 4131466425.

5246641314 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 641 + 3 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5246641313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438377 + ... + 1442019.

It is an arithmetic number, because the mean of its divisors is an integer number (127904400).

Almost surely, 25246641314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5246641314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139411200).

5246641314 is an abundant number, since it is smaller than the sum of its proper divisors (7032181086).

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

5246641314 is a wasteful number, since it uses less digits than its factorization.

5246641314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3797 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5246641314 is about 72433.7028875371. The cubic root of 5246641314 is about 1737.6426122026.

The spelling of 5246641314 in words is "five billion, two hundred forty-six million, six hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 89 93 174 178 186 261 267 279 522 534 558 801 899 1602 1798 2581 2697 2759 3643 5162 5394 5518 7286 7743 8091 8277 10929 15486 16182 16554 21858 23229 24831 32787 46458 49662 65574 80011 105647 112933 160022 211294 225866 240033 316941 324227 338799 480066 633882 648454 677598 720099 950823 972681 1016397 1440198 1901646 1945362 2032794 2918043 3275057 5836086 6550114 9402583 9825171 10051037 18805166 19650342 20102074 28207749 29475513 30153111 56415498 58951026 60306222 84623247 90459333 169246494 180918666 291480073 582960146 874440219 1748880438 2623320657 5246641314