Search a number
-
+
22460621661632 = 267116359716741
BaseRepresentation
bin1010001101101100001010…
…11000000010010111000000
32221112012210100020012210202
411012312011120002113000
510420443323121133012
6115434133411544332
74505504100034160
oct506660530022700
987465710205722
1022460621661632
11717a550420920
1226290288bb0a8
13c6c048654a2b
145791581485a0
1528e3bb85acc2
hex146d856025c0

22460621661632 has 112 divisors (see below), whose sum is σ = 55576977431040. Its totient is φ = 8749503206400.

The previous prime is 22460621661559. The next prime is 22460621661659. The reversal of 22460621661632 is 23616612606422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30978782 + ... + 31695522.

Almost surely, 222460621661632 is an apocalyptic number.

22460621661632 is a gapful number since it is divisible by the number (22) 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 22460621661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27788488715520).

22460621661632 is an abundant number, since it is smaller than the sum of its proper divisors (33116355769408).

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

22460621661632 is a wasteful number, since it uses less digits than its factorization.

22460621661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723130 (or 723120 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 22460621661632 in words is "twenty-two trillion, four hundred sixty billion, six hundred twenty-one million, six hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 6359 12718 25436 44513 50872 69949 89026 101744 139898 178052 203488 279796 356104 406976 489643 559592 712208 716741 979286 1119184 1424416 1433482 1958572 2238368 2848832 2866964 3917144 4476736 5017187 5733928 7834288 7884151 10034374 11467856 15668576 15768302 20068748 22935712 31337152 31536604 40137496 45871424 55189057 63073208 80274992 110378114 126146416 160549984 220756228 252292832 321099968 441512456 504585664 883024912 1766049824 3532099648 4557756019 9115512038 18231024076 31904292133 36462048152 50135316209 63808584266 72924096304 100270632418 127617168532 145848192608 200541264836 255234337064 291696385216 350947213463 401082529672 510468674128 701894426926 802165059344 1020937348256 1403788853852 1604330118688 2041874696512 2807577707704 3208660237376 5615155415408 11230310830816 22460621661632