Search a number
-
+
22583048736768 = 212313141370247
BaseRepresentation
bin1010010001010000001101…
…00110010001000000000000
32221221220210111101000110220
411020220012212101000000
510430000040434034033
6120010302005023040
74520400000020322
oct510500646210000
987856714330426
1022583048736768
117217465300463
1226488b53b4a80
13c7a759617620
1458104d95b612
15292684934bb3
hex148a06991000

22583048736768 has 104 divisors (see below), whose sum is σ = 64845967276608. Its totient is φ = 6948630331392.

The previous prime is 22583048736763. The next prime is 22583048736841. The reversal of 22583048736768 is 86763784038522.

It is a tau number, because it is divible by the number of its divisors (104).

It is not an unprimeable number, because it can be changed into a prime (22583048736763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70525380 + ... + 70844867.

Almost surely, 222583048736768 is an apocalyptic number.

It is an amenable number.

22583048736768 is an abundant number, since it is smaller than the sum of its proper divisors (42262918539840).

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

22583048736768 is a wasteful number, since it uses less digits than its factorization.

22583048736768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141370287 (or 141370265 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 69.

The spelling of 22583048736768 in words is "twenty-two trillion, five hundred eighty-three billion, forty-eight million, seven hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 9984 12288 13312 19968 26624 39936 53248 79872 159744 141370247 282740494 424110741 565480988 848221482 1130961976 1696442964 1837813211 2261923952 3392885928 3675626422 4523847904 5513439633 6785771856 7351252844 9047695808 11026879266 13571543712 14702505688 18095391616 22053758532 27143087424 29405011376 36190783232 44107517064 54286174848 58810022752 72381566464 88215034128 108572349696 117620045504 144763132928 176430068256 217144699392 235240091008 289526265856 352860136512 434289398784 470480182016 579052531712 705720273024 868578797568 940960364032 1411440546048 1737157595136 1881920728064 2822881092096 3763841456128 5645762184192 7527682912256 11291524368384 22583048736768