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22660348672 = 2813371631129
BaseRepresentation
bin10101000110101010…
…010111101100000000
32011111020102222120001
4111012222113230000
5332402022124142
614224321525344
71431354533323
oct250652275400
964436388501
1022660348672
1196791a3395
124484aa3854
1321a18ba450
14114d7567ba
158c95bc5b7
hex546a97b00

22660348672 has 144 divisors (see below), whose sum is σ = 50379612640. Its totient is φ = 10104569856.

The previous prime is 22660348661. The next prime is 22660348687. The reversal of 22660348672 is 27684306622.

It is a super-2 number, since 2×226603486722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20070604 + ... + 20071732.

Almost surely, 222660348672 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 22660348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189806320).

22660348672 is an abundant number, since it is smaller than the sum of its proper divisors (27719263968).

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

22660348672 is a wasteful number, since it uses less digits than its factorization.

22660348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 22660348672 in words is "twenty-two billion, six hundred sixty million, three hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 163 208 256 296 326 416 481 592 652 832 962 1129 1184 1304 1664 1924 2119 2258 2368 2608 3328 3848 4238 4516 4736 5216 6031 7696 8476 9032 9472 10432 12062 14677 15392 16952 18064 20864 24124 29354 30784 33904 36128 41728 41773 48248 58708 61568 67808 72256 78403 83546 96496 117416 123136 135616 144512 156806 167092 184027 192992 234832 271232 289024 313612 334184 368054 385984 469664 542464 543049 627224 668368 736108 771968 939328 1086098 1254448 1336736 1472216 1543936 1878656 2172196 2392351 2508896 2673472 2944432 3757312 4344392 4784702 5017792 5346944 5888864 6808999 8688784 9569404 10035584 10693888 11777728 13617998 17377568 19138808 20071168 23555456 27235996 34755136 38277616 47110912 54471992 69510272 76555232 88516987 108943984 139020544 153110464 177033974 217887968 306220928 354067948 435775936 612441856 708135896 871551872 1416271792 1743103744 2832543584 5665087168 11330174336 22660348672