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5141432646 = 232731242461
BaseRepresentation
bin1001100100111010…
…00000100101000110
3111021022111211200100
410302131000211012
541012201321041
62210102424530
7241260312360
oct46235004506
914238454610
105141432646
1121a9228499
12bb5a32146
1363c24b04c
1436ab99d30
152015926b6
hex132740946

5141432646 has 72 divisors (see below), whose sum is σ = 13155406992. Its totient is φ = 1421560800.

The previous prime is 5141432633. The next prime is 5141432657. The reversal of 5141432646 is 6462341415.

5141432646 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 4 + 3 + 2 + 646 = 666.

It is a super-2 number, since 2×51414326462 = 52868659306709122632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5141432646.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99856 + ... + 142316.

It is an arithmetic number, because the mean of its divisors is an integer number (182713986).

Almost surely, 25141432646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141432646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577703496).

5141432646 is an abundant number, since it is smaller than the sum of its proper divisors (8013974346).

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

5141432646 is a wasteful number, since it uses less digits than its factorization.

5141432646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42538 (or 42504 counting only the distinct ones).

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

The square root of 5141432646 is about 71703.7840424060. The cubic root of 5141432646 is about 1725.9493642463.

The spelling of 5141432646 in words is "five billion, one hundred forty-one million, four hundred thirty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 961 1302 1922 1953 2883 3906 5766 6727 8649 13454 17298 20181 40362 42461 60543 84922 121086 127383 254766 297227 382149 594454 764298 891681 1316291 1783362 2632582 2675043 3948873 5350086 7897746 9214037 11846619 18428074 23693238 27642111 40805021 55284222 81610042 82926333 122415063 165852666 244830126 285635147 367245189 571270294 734490378 856905441 1713810882 2570716323 5141432646