Search a number
-
+
46148468288 = 26131947179347
BaseRepresentation
bin101010111110101010…
…011011111001000000
311102010011111002101012
4222332222123321000
51224003001441123
633111133500052
73222413336216
oct527652337100
9142104432335
1046148468288
111863167529a
128b3b041628
134475b31c90
14233adc6cb6
15130169a378
hexabea9be40

46148468288 has 224 divisors, whose sum is σ = 106918963200. Its totient is φ = 19582027776.

The previous prime is 46148468281. The next prime is 46148468309. The reversal of 46148468288 is 88286484164.

It is a super-2 number, since 2×461484682882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46148468281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132992531 + ... + 132992877.

It is an arithmetic number, because the mean of its divisors is an integer number (477316800).

Almost surely, 246148468288 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 46148468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53459481600).

46148468288 is an abundant number, since it is smaller than the sum of its proper divisors (60770494912).

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

46148468288 is a wasteful number, since it uses less digits than its factorization.

46148468288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 59.

The spelling of 46148468288 in words is "forty-six billion, one hundred forty-eight million, four hundred sixty-eight thousand, two hundred eighty-eight".