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21088327428 = 22337122922697
BaseRepresentation
bin10011101000111101…
…100101011100000100
32000102200102000211000
4103220331211130010
5321142102434203
613404324013300
71344405553110
oct235075453404
960380360730
1021088327428
118a418a1583
124106531230
131cb0ccc66c
141040a66740
158365984a3
hex4e8f65704

21088327428 has 96 divisors (see below), whose sum is σ = 62537529600. Its totient is φ = 6020068608.

The previous prime is 21088327427. The next prime is 21088327439. The reversal of 21088327428 is 82472388012.

21088327428 is a `hidden beast` number, since 210 + 8 + 8 + 3 + 2 + 7 + 428 = 666.

It is not an unprimeable number, because it can be changed into a prime (21088327427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917776 + ... + 940472.

It is an arithmetic number, because the mean of its divisors is an integer number (651432600).

Almost surely, 221088327428 is an apocalyptic number.

21088327428 is a gapful number since it is divisible by the number (28) 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 21088327428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31268764800).

21088327428 is an abundant number, since it is smaller than the sum of its proper divisors (41449202172).

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

21088327428 is a wasteful number, since it uses less digits than its factorization.

21088327428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23946 (or 23938 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 21088327428 in words is "twenty-one billion, eighty-eight million, three hundred twenty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1229 2458 3687 4916 7374 8603 11061 14748 17206 22122 22697 25809 33183 34412 44244 45394 51618 66366 68091 77427 90788 103236 132732 136182 154854 158879 204273 232281 272364 309708 317758 408546 464562 476637 612819 635516 817092 929124 953274 1225638 1429911 1906548 2451276 2859822 4289733 5719644 8579466 17158932 27894613 55789226 83683839 111578452 167367678 195262291 251051517 334735356 390524582 502103034 585786873 753154551 781049164 1004206068 1171573746 1506309102 1757360619 2343147492 3012618204 3514721238 5272081857 7029442476 10544163714 21088327428