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5416482556368 = 2432137613802129
BaseRepresentation
bin100111011010001111110…
…0001001100100111010000
3201011210212222112010002200
41032310133201030213100
51202220424013300433
615304144151043200
71066220326036302
oct116643741144720
921153788463080
105416482556368
1117a9132217474
12735901070500
13303a06443c30
1414a232a11972
1595d66180613
hex4ed1f84c9d0

5416482556368 has 120 divisors (see below), whose sum is σ = 16346132504520. Its totient is φ = 1664419553280.

The previous prime is 5416482556361. The next prime is 5416482556379. The reversal of 5416482556368 is 8636552846145.

5416482556368 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 4 + 8 + 2 + 5 + 563 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 566304411024 + 4850178145344 = 752532^2 + 2202312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5416482556361) 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, 476473 + ... + 3325656.

It is an arithmetic number, because the mean of its divisors is an integer number (136217770871).

Almost surely, 25416482556368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5416482556368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173066252260).

5416482556368 is an abundant number, since it is smaller than the sum of its proper divisors (10929649948152).

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

5416482556368 is a wasteful number, since it uses less digits than its factorization.

5416482556368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802917 (or 3802908 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 63.

The spelling of 5416482556368 in words is "five trillion, four hundred sixteen billion, four hundred eighty-two million, five hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 761 936 1522 1872 2283 3044 4566 6088 6849 9132 9893 12176 13698 18264 19786 27396 29679 36528 39572 54792 59358 79144 89037 109584 118716 158288 178074 237432 356148 474864 712296 1424592 3802129 7604258 11406387 15208516 22812774 30417032 34219161 45625548 49427677 60834064 68438322 91251096 98855354 136876644 148283031 182502192 197710708 273753288 296566062 395421416 444849093 547506576 593132124 790842832 889698186 1186264248 1779396372 2372528496 2893420169 3558792744 5786840338 7117585488 8680260507 11573680676 17360521014 23147361352 26040781521 34721042028 37614462197 46294722704 52081563042 69442084056 75228924394 104163126084 112843386591 138884168112 150457848788 208326252168 225686773182 300915697576 338530159773 416652504336 451373546364 601831395152 677060319546 902747092728 1354120639092 1805494185456 2708241278184 5416482556368