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4313405916 = 2232197188819
BaseRepresentation
bin1000000010001100…
…10101100111011100
3102010121102201112200
410001012111213130
532313212442131
61552003131500
7211614226311
oct40106254734
912117381480
104313405916
111913894786
12a04673b90
135398343c1
142ccc16d08
151a3a312e6
hex1011959dc

4313405916 has 72 divisors (see below), whose sum is σ = 11638972800. Its totient is φ = 1342928160.

The previous prime is 4313405893. The next prime is 4313405923. The reversal of 4313405916 is 6195043134.

4313405916 is a `hidden beast` number, since 4 + 31 + 34 + 0 + 591 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4155 + ... + 92973.

It is an arithmetic number, because the mean of its divisors is an integer number (161652400).

Almost surely, 24313405916 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 4313405916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819486400).

4313405916 is an abundant number, since it is smaller than the sum of its proper divisors (7325566884).

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

4313405916 is a wasteful number, since it uses less digits than its factorization.

4313405916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88919 (or 88914 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4313405916 is about 65676.5248471629. The cubic root of 4313405916 is about 1627.8214860395.

The spelling of 4313405916 in words is "four billion, three hundred thirteen million, four hundred five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 4047 5396 8094 12141 16188 24282 48564 88819 177638 266457 355276 532914 799371 1065828 1598742 1687561 3197484 3375122 5062683 6306149 6750244 10125366 12612298 15188049 18918447 20250732 25224596 30376098 37836894 56755341 60752196 75673788 113510682 119816831 227021364 239633662 359450493 479267324 718900986 1078351479 1437801972 2156702958 4313405916