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5071012632 = 2332780912437
BaseRepresentation
bin1001011100100000…
…11000001100011000
3111002102000010120200
410232100120030120
540341134401012
62155105222200
7236443616250
oct45620301430
914072003520
105071012632
1121724aa934
12b96331960
1362a7932ba
143616a8960
151ea2d23dc
hex12e418318

5071012632 has 96 divisors (see below), whose sum is σ = 15716656800. Its totient is φ = 1446953472.

The previous prime is 5071012631. The next prime is 5071012649. The reversal of 5071012632 is 2362101705.

It is a happy number.

5071012632 is a `hidden beast` number, since 5 + 0 + 7 + 10 + 12 + 632 = 666.

It is a super-2 number, since 2×50710126322 = 51430338227807134848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5071012596 and 5071012605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5071012631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401518 + ... + 413954.

It is an arithmetic number, because the mean of its divisors is an integer number (163715175).

Almost surely, 25071012632 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 5071012632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858328400).

5071012632 is an abundant number, since it is smaller than the sum of its proper divisors (10645644168).

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

5071012632 is a wasteful number, since it uses less digits than its factorization.

5071012632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265 (or 13258 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5071012632 is about 71211.0429076839. The cubic root of 5071012632 is about 1718.0332477168.

The spelling of 5071012632 in words is "five billion, seventy-one million, twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 809 1618 2427 3236 4854 5663 6472 7281 9708 11326 12437 14562 16989 19416 22652 24874 29124 33978 37311 45304 49748 50967 58248 67956 74622 87059 99496 101934 111933 135912 149244 174118 203868 223866 261177 298488 348236 407736 447732 522354 696472 783531 895464 1044708 1567062 2089416 3134124 6268248 10061533 20123066 30184599 40246132 60369198 70430731 80492264 90553797 120738396 140861462 181107594 211292193 241476792 281722924 362215188 422584386 563445848 633876579 724430376 845168772 1267753158 1690337544 2535506316 5071012632