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46031226444 = 22327659277183
BaseRepresentation
bin101010110111101011…
…001100011001001100
311101210222212120210200
4222313223030121030
51223232443221234
633051344533500
73216460653240
oct526753143114
9141728776720
1046031226444
1118581477805
128b07921290
1344577625c8
1423295c8420
1512e623bd99
hexab7acc64c

46031226444 has 72 divisors (see below), whose sum is σ = 133181368320. Its totient is φ = 13131774432.

The previous prime is 46031226431. The next prime is 46031226457. The reversal of 46031226444 is 44462213064.

46031226444 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 1 + 2 + 2 + 644 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46031226431) and next prime (46031226457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46031226399 and 46031226408.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27477 + ... + 304659.

Almost surely, 246031226444 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 46031226444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66590684160).

46031226444 is an abundant number, since it is smaller than the sum of its proper divisors (87150141876).

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

46031226444 is a wasteful number, since it uses less digits than its factorization.

46031226444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277859 (or 277854 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 46031226444 in words is "forty-six billion, thirty-one million, two hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 659 1318 1977 2636 3954 4613 5931 7908 9226 11862 13839 18452 23724 27678 41517 55356 83034 166068 277183 554366 831549 1108732 1663098 1940281 2494647 3326196 3880562 4989294 5820843 7761124 9978588 11641686 17462529 23283372 34925058 69850116 182663597 365327194 547990791 730654388 1095981582 1278645179 1643972373 2191963164 2557290358 3287944746 3835935537 5114580716 6575889492 7671871074 11507806611 15343742148 23015613222 46031226444