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46334468004 = 223112912104093
BaseRepresentation
bin101011001001101111…
…111101111110100100
311102121010110212000120
4223021233331332210
51224343110434004
633141420241540
73230132323356
oct531157757644
9142533425016
1046334468004
1118717665670
128b913a02b0
1344a5526996
1423579a30d6
151312b8b3d9
hexac9bfdfa4

46334468004 has 48 divisors (see below), whose sum is σ = 122009267520. Its totient is φ = 13556583040.

The previous prime is 46334467969. The next prime is 46334468039. The reversal of 46334468004 is 40086443364.

It is an interprime number because it is at equal distance from previous prime (46334467969) and next prime (46334468039).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6048219 + ... + 6055874.

It is an arithmetic number, because the mean of its divisors is an integer number (2541859740).

Almost surely, 246334468004 is an apocalyptic number.

46334468004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46334468004 is an abundant number, since it is smaller than the sum of its proper divisors (75674799516).

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

46334468004 is a wasteful number, since it uses less digits than its factorization.

46334468004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104140 (or 12104138 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 46334468004 in words is "forty-six billion, three hundred thirty-four million, four hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 12104093 24208186 36312279 48416372 72624558 133145023 145249116 266290046 351018697 399435069 532580092 702037394 798870138 1053056091 1404074788 1597740276 2106112182 3861205667 4212224364 7722411334 11583617001 15444822668 23167234002 46334468004