Search a number
-
+
46665150336 = 27327191032957
BaseRepresentation
bin101011011101011101…
…011010111110000000
311110110011201020220100
4223131131122332000
51231032234302321
633234312042400
73241256142660
oct533535327600
9143404636810
1046665150336
1118877296152
129064093400
134528ba81bc
1423898821a0
151331c0b326
hexadd75af80

46665150336 has 384 divisors, whose sum is σ = 163168012800. Its totient is φ = 12504305664.

The previous prime is 46665150319. The next prime is 46665150373. The reversal of 46665150336 is 63305156664.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 46665150291 and 46665150300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15779770 + ... + 15782726.

It is an arithmetic number, because the mean of its divisors is an integer number (424916700).

Almost surely, 246665150336 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 46665150336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81584006400).

46665150336 is an abundant number, since it is smaller than the sum of its proper divisors (116502862464).

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

46665150336 is a wasteful number, since it uses less digits than its factorization.

46665150336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 46665150336 in words is "forty-six billion, six hundred sixty-five million, one hundred fifty thousand, three hundred thirty-six".