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2668451040 = 2535568633
BaseRepresentation
bin1001111100001101…
…0101010011100000
320212222011100200000
42133003111103200
520431110413130
61120442100000
7123061313433
oct23703252340
96788140600
102668451040
11114a2a8842
126257aa600
13336abb718
141b457d81a
15109402260
hex9f0d54e0

2668451040 has 144 divisors (see below), whose sum is σ = 9443489328. Its totient is φ = 711576576.

The previous prime is 2668451033. The next prime is 2668451059. The reversal of 2668451040 is 401548662.

2668451040 is a `hidden beast` number, since 2 + 66 + 84 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2668450986 and 2668451004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4564 + ... + 73196.

It is an arithmetic number, because the mean of its divisors is an integer number (65579787).

Almost surely, 22668451040 is an apocalyptic number.

2668451040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721744664).

2668451040 is an abundant number, since it is smaller than the sum of its proper divisors (6775038288).

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

2668451040 is an equidigital number, since it uses as much as digits as its factorization.

2668451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68663 (or 68643 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2668451040 is about 51657.0521807042. The cubic root of 2668451040 is about 1387.0317835798.

The spelling of 2668451040 in words is "two billion, six hundred sixty-eight million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 68633 137266 205899 274532 343165 411798 549064 617697 686330 823596 1029495 1098128 1235394 1372660 1647192 1853091 2058990 2196256 2470788 2745320 3088485 3294384 3706182 4117980 4941576 5490640 5559273 6176970 6588768 7412364 8235960 9265455 9883152 10981280 11118546 12353940 14824728 16471920 16677819 18530910 19766304 22237092 24707880 27796365 29649456 32943840 33355638 37061820 44474184 49415760 55592730 59298912 66711276 74123640 83389095 88948368 98831520 111185460 133422552 148247280 166778190 177896736 222370920 266845104 296494560 333556380 444741840 533690208 667112760 889483680 1334225520 2668451040