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46441282968 = 23322328044253
BaseRepresentation
bin101011010000000111…
…011011110110011000
311102212120110121121100
4223100013123312120
51230102432023333
633200153511400
73232600251303
oct532007336630
9142776417540
1046441282968
11187719912a3
129001112560
1344c16b53c2
142367c49b3a
15131c23a213
hexad01dbd98

46441282968 has 48 divisors (see below), whose sum is σ = 131247108720. Its totient is φ = 14807365056.

The previous prime is 46441282949. The next prime is 46441282973. The reversal of 46441282968 is 86928214464.

It is a happy number.

46441282968 is a `hidden beast` number, since 4 + 64 + 412 + 82 + 96 + 8 = 666.

46441282968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14020471 + ... + 14023782.

It is an arithmetic number, because the mean of its divisors is an integer number (2734314765).

Almost surely, 246441282968 is an apocalyptic number.

It is an amenable number.

46441282968 is an abundant number, since it is smaller than the sum of its proper divisors (84805825752).

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

46441282968 is a wasteful number, since it uses less digits than its factorization.

46441282968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28044288 (or 28044281 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 46441282968 in words is "forty-six billion, four hundred forty-one million, two hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 28044253 56088506 84132759 112177012 168265518 224354024 252398277 336531036 504796554 645017819 673062072 1009593108 1290035638 1935053457 2019186216 2580071276 3870106914 5160142552 5805160371 7740213828 11610320742 15480427656 23220641484 46441282968