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2004260626656 = 253231847218521
BaseRepresentation
bin11101001010100111001…
…111100010000011100000
321002121100100222002222100
4131022213033202003200
5230314211210023111
64132424501010400
7264542306143101
oct35124717420340
97077310862870
102004260626656
11703002966742
122845329b3a00
13117002179332
146d0146883a8
1537207085756
hex1d2a73e20e0

2004260626656 has 72 divisors (see below), whose sum is σ = 5699821209264. Its totient is φ = 668062840320.

The previous prime is 2004260626651. The next prime is 2004260626703. The reversal of 2004260626656 is 6566260624002.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004260626651) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9062676 + ... + 9281196.

It is an arithmetic number, because the mean of its divisors is an integer number (79164183462).

Almost surely, 22004260626656 is an apocalyptic number.

It is an amenable number.

2004260626656 is an abundant number, since it is smaller than the sum of its proper divisors (3695560582608).

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

2004260626656 is a wasteful number, since it uses less digits than its factorization.

2004260626656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250384 (or 250373 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2004260626656 in words is "two trillion, four billion, two hundred sixty million, six hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 31847 63694 95541 127388 191082 218521 254776 286623 382164 437042 509552 573246 655563 764328 874084 1019104 1146492 1311126 1528656 1748168 1966689 2292984 2622252 3057312 3496336 3933378 4585968 5244504 6992672 7866756 9171936 10489008 15733512 20978016 31467024 62934048 6959238287 13918476574 20877714861 27836953148 41755429722 55673906296 62633144583 83510859444 111347812592 125266289166 167021718888 222695625184 250532578332 334043437776 501065156664 668086875552 1002130313328 2004260626656