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24470822804142 = 23111353962355921
BaseRepresentation
bin1011001000001100011101…
…01100110101101010101110
310012122101110201022210112210
411210012032230311222232
511201412221114213032
6124013424002511250
75103646541600421
oct544061654655256
9105571421283483
1024470822804142
117885021579aa0
1228b2739065526
1310867864708b0
146085737599b8
152c68201c92cc
hex16418eb35aae

24470822804142 has 128 divisors (see below), whose sum is σ = 58589878459392. Its totient is φ = 6715016755200.

The previous prime is 24470822804123. The next prime is 24470822804159. The reversal of 24470822804142 is 24140822807442.

It is a super-2 number, since 2×244708228041422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24470822804091 and 24470822804100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437568342 + ... + 437624262.

It is an arithmetic number, because the mean of its divisors is an integer number (457733425464).

Almost surely, 224470822804142 is an apocalyptic number.

24470822804142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24470822804142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29294939229696).

24470822804142 is an abundant number, since it is smaller than the sum of its proper divisors (34119055655250).

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

24470822804142 is a wasteful number, since it uses less digits than its factorization.

24470822804142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65626.

The product of its (nonzero) digits is 1835008, while the sum is 48.

The spelling of 24470822804142 in words is "twenty-four trillion, four hundred seventy billion, eight hundred twenty-two million, eight hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 858 1166 1378 1749 2067 3498 4134 7579 9623 15158 19246 22737 28869 45474 55921 57738 105853 111842 125099 167763 211706 250198 317559 335526 375297 510019 615131 635118 726973 750594 1020038 1230262 1376089 1453946 1530057 1845393 2180919 2752178 2963813 3060114 3690786 4128267 4361838 5610209 5927626 6630247 7996703 8256534 8891439 11220418 13260494 15993406 16830627 17782878 19890741 23990109 32601943 33661254 38529569 39781482 47980218 65203886 72932717 77059138 97805829 115588707 145865434 195611658 218798151 231177414 423825259 437596302 538127783 847650518 1076255566 1271475777 1614383349 2542951554 3228766698 5919405613 6995661179 11838811226 13991322358 17758216839 20986983537 28520772499 35516433678 41973967074 57041544998 76952272969 85562317497 153904545938 171124634994 230856818907 313728497489 370770042487 461713637814 627456994978 741540084974 941185492467 1112310127461 1882370984934 2224620254922 4078470467357 8156940934714 12235411402071 24470822804142