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21992274468 = 22331729214243
BaseRepresentation
bin10100011110110101…
…110111101000100100
32002202200100022001000
4110132311313220210
5330020010240333
614034134433300
71405663151163
oct243665675044
962680308030
1021992274468
11936607a34a
124319202830
1320c6378778
1410c8b2d3da
1588ab04713
hex51ed77a24

21992274468 has 144 divisors (see below), whose sum is σ = 62528880960. Its totient is φ = 6661154304.

The previous prime is 21992274443. The next prime is 21992274503. The reversal of 21992274468 is 86447229912.

It is a happy number.

21992274468 is a `hidden beast` number, since 2 + 1 + 99 + 22 + 74 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1536955 + ... + 1551197.

It is an arithmetic number, because the mean of its divisors is an integer number (434228340).

Almost surely, 221992274468 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 21992274468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31264440480).

21992274468 is an abundant number, since it is smaller than the sum of its proper divisors (40536606492).

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

21992274468 is a wasteful number, since it uses less digits than its factorization.

21992274468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14331 (or 14294 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 21992274468 in words is "twenty-one billion, nine hundred ninety-two million, two hundred seventy-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 459 493 522 612 783 841 918 986 1044 1479 1566 1682 1836 1972 2523 2958 3132 3364 4437 5046 5916 7569 8874 10092 13311 14243 14297 15138 17748 22707 26622 28486 28594 30276 42729 42891 45414 53244 56972 57188 85458 85782 90828 128187 128673 170916 171564 242131 256374 257346 384561 386019 413047 484262 512748 514692 726393 769122 772038 826094 968524 1239141 1452786 1538244 1544076 1652188 2179179 2478282 2905572 3717423 4358358 4956564 6537537 7021799 7434846 8716716 11152269 11978363 13075074 14043598 14869692 21065397 22304538 23956726 26150148 28087196 35935089 42130794 44609076 47913452 63196191 71870178 84261588 107805267 126392382 143740356 189588573 203632171 215610534 252784764 323415801 379177146 407264342 431221068 610896513 646831602 758354292 814528684 1221793026 1293663204 1832689539 2443586052 3665379078 5498068617 7330758156 10996137234 21992274468