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46442193516 = 223243145920563
BaseRepresentation
bin101011010000001010…
…111010001001101100
311102212122011212122100
4223100022322021230
51230103200143031
633200225215100
73232611063045
oct532012721154
9142778155570
1046442193516
1118772453414
129001491490
1344c19439a4
1423680058cc
15131c369de6
hexad02ba26c

46442193516 has 72 divisors (see below), whose sum is σ = 120213853760. Its totient is φ = 15109615584.

The previous prime is 46442193467. The next prime is 46442193517. The reversal of 46442193516 is 61539124464.

46442193516 is a `hidden beast` number, since 4 + 6 + 4 + 42 + 1 + 93 + 516 = 666.

It is not an unprimeable number, because it can be changed into a prime (46442193517) 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, 2248251 + ... + 2268813.

Almost surely, 246442193516 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 46442193516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60106926880).

46442193516 is an abundant number, since it is smaller than the sum of its proper divisors (73771660244).

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

46442193516 is a wasteful number, since it uses less digits than its factorization.

46442193516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22075 (or 22070 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 46442193516 in words is "forty-six billion, four hundred forty-two million, one hundred ninety-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1459 1548 2918 4377 5836 8754 13131 17508 20563 26262 41126 52524 61689 62737 82252 123378 125474 185067 188211 246756 250948 370134 376422 564633 740268 752844 884209 1129266 1768418 2258532 2652627 3536836 5305254 7957881 10610508 15915762 30001417 31831524 60002834 90004251 120005668 180008502 270012753 360017004 540025506 1080051012 1290060931 2580121862 3870182793 5160243724 7740365586 11610548379 15480731172 23221096758 46442193516