Search a number
-
+
54364022942112 = 25321358573247901
BaseRepresentation
bin11000101110001100111000…
…10001101010100110100000
321010111011001020020102200100
430113012130101222212200
524111200004333121422
6311342253134222400
714310446111402532
oct1427063421524640
9233434036212610
1054364022942112
111635a71a757a64
126120141354a00
13244467539c4c0
14d5d338945852
156441edcd47ac
hex31719c46a9a0

54364022942112 has 144 divisors (see below), whose sum is σ = 166493334302568. Its totient is φ = 16727038617600.

The previous prime is 54364022942111. The next prime is 54364022942123. The reversal of 54364022942112 is 21124922046345.

54364022942112 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 402 + 29 + 4 + 211 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48202527382416 + 6161495559696 = 6942804^2 + 2482236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (54364022942111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219173362 + ... + 219421262.

Almost surely, 254364022942112 is an apocalyptic number.

54364022942112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54364022942112 is an abundant number, since it is smaller than the sum of its proper divisors (112129311360456).

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

54364022942112 is a wasteful number, since it uses less digits than its factorization.

54364022942112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306503 (or 306492 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 54364022942112 its reverse (21124922046345), we get a palindrome (75488944988457).

The spelling of 54364022942112 in words is "fifty-four trillion, three hundred sixty-four billion, twenty-two million, nine hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 58573 117146 175719 234292 247901 351438 468584 495802 527157 702876 743703 761449 937168 991604 1054314 1405752 1487406 1522898 1874336 1983208 2108628 2231109 2284347 2811504 2974812 3045796 3222713 3966416 4217256 4462218 4568694 5623008 5949624 6091592 6445426 6853041 7932832 8434512 8924436 9137388 9668139 11899248 12183184 12890852 13706082 16869024 17848872 18274776 19336278 23798496 24366368 25781704 27412164 29004417 35697744 36549552 38672556 51563408 54824328 58008834 71395488 73099104 77345112 103126816 109648656 116017668 154690224 219297312 232035336 309380448 464070672 928141344 14520305273 29040610546 43560915819 58081221092 87121831638 116162442184 130682747457 174243663276 188763968549 232324884368 261365494914 348487326552 377527937098 464649768736 522730989828 566291905647 696974653104 755055874196 1045461979656 1132583811294 1393949306208 1510111748392 1698875716941 2090923959312 2265167622588 3020223496784 3397751433882 4181847918624 4530335245176 6040446993568 6795502867764 9060670490352 13591005735528 18121340980704 27182011471056 54364022942112