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2663328988292 = 22717311271421191
BaseRepresentation
bin100110110000011010110…
…001110011110010000100
3100102121111222100211122012
4212300122301303302010
5322113444210111132
65355303315153352
7363263526606020
oct46603261636204
910377458324565
102663328988292
11937569865635
123702075a5858
131641c65406cb
1492c9778b380
154942c97a0b2
hex26c1ac73c84

2663328988292 has 96 divisors (see below), whose sum is σ = 5867772051456. Its totient is φ = 1031442854400.

The previous prime is 2663328988289. The next prime is 2663328988319. The reversal of 2663328988292 is 2928898233662.

It is a Harshad number since it is a multiple of its sum of digits (68).

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 31 ways as a sum of consecutive naturals, for example, 1163417 + ... + 2584607.

It is an arithmetic number, because the mean of its divisors is an integer number (61122625536).

Almost surely, 22663328988292 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 2663328988292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933886025728).

2663328988292 is an abundant number, since it is smaller than the sum of its proper divisors (3204443063164).

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

2663328988292 is a wasteful number, since it uses less digits than its factorization.

2663328988292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421377 (or 1421375 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 68.

The spelling of 2663328988292 in words is "two trillion, six hundred sixty-three billion, three hundred twenty-eight million, nine hundred eighty-eight thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 127 217 238 254 434 476 508 527 868 889 1054 1778 2108 2159 3556 3689 3937 4318 7378 7874 8636 14756 15113 15748 27559 30226 55118 60452 66929 110236 133858 267716 468503 937006 1421191 1874012 2842382 5684764 9948337 19896674 24160247 39793348 44056921 48320494 88113842 96640988 169121729 176227684 180491257 308398447 338243458 360982514 616796894 676486916 721965028 748967657 1233593788 1263438799 1497935314 2526877598 2995870628 3068351369 5053755196 5242773599 5595228967 6136702738 10485547198 11190457934 12273405476 20971094396 21478459583 22380915868 39166602769 42956919166 78333205538 85913838332 95118892439 156666411076 190237784878 380475569756 665832247073 1331664494146 2663328988292