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21420726264 = 2333714167147
BaseRepresentation
bin10011111100110001…
…100101011111111000
32001021211212122022000
4103330301211133320
5322332201220024
613501320301000
71355553111660
oct237461453770
961254778260
1021420726264
1190a2494763
124199911760
132034b32272
141072c711a0
15855856cc9
hex4fcc657f8

21420726264 has 64 divisors (see below), whose sum is σ = 68002310400. Its totient is φ = 6120207072.

The previous prime is 21420726259. The next prime is 21420726287. The reversal of 21420726264 is 46262702412.

21420726264 is a `hidden beast` number, since 2 + 1 + 4 + 20 + 7 + 2 + 626 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7082062 + ... + 7085085.

It is an arithmetic number, because the mean of its divisors is an integer number (1062536100).

Almost surely, 221420726264 is an apocalyptic number.

21420726264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21420726264 is an abundant number, since it is smaller than the sum of its proper divisors (46581584136).

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

21420726264 is a wasteful number, since it uses less digits than its factorization.

21420726264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14167169 (or 14167159 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

It can be divided in two parts, 214207 and 26264, that added together give a triangular number (240471 = T693).

The spelling of 21420726264 in words is "twenty-one billion, four hundred twenty million, seven hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 14167147 28334294 42501441 56668588 85002882 99170029 113337176 127504323 170005764 198340058 255008646 297510087 340011528 382512969 396680116 510017292 595020174 765025938 793360232 892530261 1020034584 1190040348 1530051876 1785060522 2380080696 2677590783 3060103752 3570121044 5355181566 7140242088 10710363132 21420726264