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5348589091632 = 2432293734616011
BaseRepresentation
bin100110111010101000011…
…0000001011101100110000
3200221022122100222202100200
41031311100300023230300
51200112402301413012
615213035150315200
71061265011103003
oct115652060135460
920838570882320
105348589091632
111782362117536
127247137b8b00
132ca4a6564c67
14146c31aa753a
15941e09783dc
hex4dd50c0bb30

5348589091632 has 120 divisors (see below), whose sum is σ = 15903288233040. Its totient is φ = 1674861027840.

The previous prime is 5348589091621. The next prime is 5348589091679. The reversal of 5348589091632 is 2361909858435.

5348589091632 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 589 + 0 + 9 + 16 + 32 = 666.

It is a super-2 number, since 2×53485890916322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5348589091632.

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 23 ways as a sum of consecutive naturals, for example, 17153494 + ... + 17462517.

It is an arithmetic number, because the mean of its divisors is an integer number (132527401942).

Almost surely, 25348589091632 is an apocalyptic number.

It is an amenable number.

5348589091632 is an abundant number, since it is smaller than the sum of its proper divisors (10554699141408).

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

5348589091632 is a wasteful number, since it uses less digits than its factorization.

5348589091632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34616091 (or 34616082 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 5348589091632 in words is "five trillion, three hundred forty-eight billion, five hundred eighty-nine million, ninety-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 37 48 58 72 74 87 111 116 144 148 174 222 232 261 296 333 348 444 464 522 592 666 696 888 1044 1073 1332 1392 1776 2088 2146 2664 3219 4176 4292 5328 6438 8584 9657 12876 17168 19314 25752 38628 51504 77256 154512 34616011 69232022 103848033 138464044 207696066 276928088 311544099 415392132 553856176 623088198 830784264 1003864319 1246176396 1280792407 1661568528 2007728638 2492352792 2561584814 3011592957 3842377221 4015457276 4984705584 5123169628 6023185914 7684754442 8030914552 9034778871 10246339256 11527131663 12046371828 15369508884 16061829104 18069557742 20492678512 23054263326 24092743656 30739017768 36139115484 37142979803 46108526652 48185487312 61478035536 72278230968 74285959606 92217053304 111428939409 144556461936 148571919212 184434106608 222857878818 297143838424 334286818227 445715757636 594287676848 668573636454 891431515272 1337147272908 1782863030544 2674294545816 5348589091632