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21696228054 = 2333741833191
BaseRepresentation
bin10100001101001100…
…100010101011010110
32002000001021120201000
4110031030202223112
5323413213244204
613544521244130
71365436616124
oct241514425326
962001246630
1021696228054
119223a56296
124256033646
132079c33387
14109b6a8914
1586eb27039
hex50d322ad6

21696228054 has 128 divisors (see below), whose sum is σ = 51351874560. Its totient is φ = 6780153600.

The previous prime is 21696228023. The next prime is 21696228089. The reversal of 21696228054 is 45082269612.

21696228054 is a `hidden beast` number, since 2 + 16 + 9 + 622 + 8 + 0 + 5 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6797599 + ... + 6800789.

It is an arithmetic number, because the mean of its divisors is an integer number (401186520).

Almost surely, 221696228054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21696228054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25675937280).

21696228054 is an abundant number, since it is smaller than the sum of its proper divisors (29655646506).

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

21696228054 is a wasteful number, since it uses less digits than its factorization.

21696228054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21696228054 in words is "twenty-one billion, six hundred ninety-six million, two hundred twenty-eight thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 82 83 111 123 166 222 246 249 333 369 498 666 738 747 999 1107 1494 1517 1998 2214 2241 3034 3071 3191 3403 4482 4551 6142 6382 6806 9102 9213 9573 10209 13653 18426 19146 20418 27306 27639 28719 30627 40959 55278 57438 61254 81918 82917 86157 91881 118067 125911 130831 165834 172314 183762 236134 251822 261662 264853 354201 377733 392493 529706 708402 755466 784986 794559 1062603 1133199 1177479 1589118 2125206 2266398 2354958 2383677 3187809 3399597 3532437 4767354 4840747 6375618 6799194 7064874 7151031 9681494 9799561 10858973 14302062 14522241 19599122 21717946 29044482 29398683 32576919 43566723 58797366 65153838 87133446 88196049 97730757 130700169 176392098 195461514 261400338 264588147 293192271 401782001 529176294 586384542 803564002 1205346003 2410692006 3616038009 7232076018 10848114027 21696228054