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46139294816 = 2537220717657
BaseRepresentation
bin101010111110000111…
…011100010001100000
311102002112020000201222
4222332013130101200
51223443124413231
633110205114212
73222242351336
oct527607342140
9142075200658
1046139294816
111862747a10a
128b37b58968
134473c6c6a4
142339ab9b56
15130098727b
hexabe1dc460

46139294816 has 48 divisors (see below), whose sum is σ = 93339340416. Its totient is φ = 22434702336.

The previous prime is 46139294813. The next prime is 46139294821. The reversal of 46139294816 is 61849293164.

It is a super-2 number, since 2×461392948162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46139294813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2604260 + ... + 2621916.

It is an arithmetic number, because the mean of its divisors is an integer number (1944569592).

Almost surely, 246139294816 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 46139294816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46669670208).

46139294816 is an abundant number, since it is smaller than the sum of its proper divisors (47200045600).

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

46139294816 is a wasteful number, since it uses less digits than its factorization.

46139294816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19911 (or 19903 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The spelling of 46139294816 in words is "forty-six billion, one hundred thirty-nine million, two hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 2207 4414 8828 17656 17657 35312 35314 70624 70628 81659 141256 163318 282512 326636 565024 653272 653309 1306544 1306618 2613088 2613236 5226472 10452944 20905888 38968999 77937998 155875996 311751992 623503984 1247007968 1441852963 2883705926 5767411852 11534823704 23069647408 46139294816