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5957422585632 = 253272422152961
BaseRepresentation
bin101011010110001001000…
…0011101001011100100000
3210002112011000121210120100
41112230102003221130200
51240101300140220012
620400445133142400
71153260325314600
oct126542203513440
923075130553510
105957422585632
11199758a8158a1
1280270892aa00
13342a2331489b
141684ab1bcc00
15a4e760828dc
hex56b120e9720

5957422585632 has 108 divisors (see below), whose sum is σ = 19707366725046. Its totient is φ = 1702120734720.

The previous prime is 5957422585589. The next prime is 5957422585643. The reversal of 5957422585632 is 2365852247595.

It is a happy number.

5957422585632 is a `hidden beast` number, since 5 + 9 + 5 + 7 + 42 + 2 + 585 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3285649268496 + 2671773317136 = 1812636^2 + 1634556^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5957422585632.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211062369 + ... + 211090592.

Almost surely, 25957422585632 is an apocalyptic number.

It is an amenable number.

5957422585632 is an abundant number, since it is smaller than the sum of its proper divisors (13749944139414).

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

5957422585632 is a wasteful number, since it uses less digits than its factorization.

5957422585632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422152991 (or 422152973 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 5957422585632 in words is "five trillion, nine hundred fifty-seven billion, four hundred twenty-two million, five hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 422152961 844305922 1266458883 1688611844 2532917766 2955070727 3377223688 3799376649 5065835532 5910141454 6754447376 7598753298 8865212181 10131671064 11820282908 13508894752 15197506596 17730424362 20263342128 20685495089 23640565816 26595636543 30395013192 35460848724 40526684256 41370990178 47281131632 53191273086 60790026384 62056485267 70921697448 82741980356 94562263264 106382546172 121580052768 124112970534 141843394896 165483960712 186169455801 212765092344 248225941068 283686789792 330967921424 372338911602 425530184688 496451882136 661935842848 744677823204 851060369376 992903764272 1489355646408 1985807528544 2978711292816 5957422585632