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46216320260 = 22511235354101
BaseRepresentation
bin101011000010101101…
…010001010100000100
311102021220011022210012
4223002231101110010
51224122334222020
633122000045352
73224166145325
oct530255212404
9142256138705
1046216320260
11186669a9500
128b59903858
134486bcab86
14234600a44c
1513075ee7c5
hexac2b51504

46216320260 has 72 divisors (see below), whose sum is σ = 106983675288. Its totient is φ = 16758016000.

The previous prime is 46216320251. The next prime is 46216320281. The reversal of 46216320260 is 6202361264.

It can be written as a sum of positive squares in 4 ways, for example, as 7981992964 + 38234327296 = 89342^2 + 195536^2 .

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, 827210 + ... + 881310.

It is an arithmetic number, because the mean of its divisors is an integer number (1485884379).

Almost surely, 246216320260 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 46216320260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53491837644).

46216320260 is an abundant number, since it is smaller than the sum of its proper divisors (60767355028).

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

46216320260 is a wasteful number, since it uses less digits than its factorization.

46216320260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54485 (or 54472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 46216320260 in words is "forty-six billion, two hundred sixteen million, three hundred twenty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 353 484 605 706 1210 1412 1765 2420 3530 3883 7060 7766 15532 19415 38830 42713 54101 77660 85426 108202 170852 213565 216404 270505 427130 541010 595111 854260 1082020 1190222 2380444 2975555 5951110 6546221 11902220 13092442 19097653 26184884 32731105 38195306 65462210 76390612 95488265 130924420 190976530 210074183 381953060 420148366 840296732 1050370915 2100741830 2310816013 4201483660 4621632026 9243264052 11554080065 23108160130 46216320260