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5346393516 = 2232232383733
BaseRepresentation
bin1001111101010101…
…10111110110101100
3111210121011221010200
410332222313312230
541422134043031
62242303433500
7246326411052
oct47652676654
914717157120
105346393516
1122a3999642
1210525b5890
13672851379
1438a0b01d2
1521457b8e6
hex13eab7dac

5346393516 has 108 divisors (see below), whose sum is σ = 14183839488. Its totient is φ = 1697876928.

The previous prime is 5346393511. The next prime is 5346393581. The reversal of 5346393516 is 6153936435.

5346393516 is a `hidden beast` number, since 5 + 3 + 4 + 639 + 3 + 5 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5346393511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7293486 + ... + 7294218.

Almost surely, 25346393516 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 5346393516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091919744).

5346393516 is an abundant number, since it is smaller than the sum of its proper divisors (8837445972).

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

5346393516 is a wasteful number, since it uses less digits than its factorization.

5346393516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1144 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 5346393516 is about 73119.0366183800. The cubic root of 5346393516 is about 1748.5859070060.

The spelling of 5346393516 in words is "five billion, three hundred forty-six million, three hundred ninety-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 383 414 529 733 766 828 1058 1149 1466 1532 1587 2116 2199 2298 2932 3174 3447 4398 4596 4761 6348 6597 6894 8796 8809 9522 13194 13788 16859 17618 19044 26388 26427 33718 35236 50577 52854 67436 79281 101154 105708 151731 158562 202308 202607 280739 303462 317124 387757 405214 561478 606924 607821 775514 810428 842217 1122956 1163271 1215642 1551028 1684434 1823463 2326542 2431284 2526651 3368868 3489813 3646926 4653084 5053302 6456997 6979626 7293852 10106604 12913994 13959252 19370991 25827988 38741982 58112973 77483964 116225946 148510931 232451892 297021862 445532793 594043724 891065586 1336598379 1782131172 2673196758 5346393516