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24945054942 = 23537110110939
BaseRepresentation
bin10111001110110101…
…110101010011011110
32101101110112002100210
4113032311311103132
5402041413224232
615243135033250
71542106316463
oct271665652336
971343462323
1024945054942
11a640918a95
124a0206b826
132477039352
1412c8d6366a
159aee6c5cc
hex5ced754de

24945054942 has 64 divisors (see below), whose sum is σ = 52062497280. Its totient is φ = 7962864000.

The previous prime is 24945054929. The next prime is 24945054943.

24945054942 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24945054891 and 24945054900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24945054943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274909 + ... + 2285847.

It is an arithmetic number, because the mean of its divisors is an integer number (813476520).

Almost surely, 224945054942 is an apocalyptic number.

24945054942 is an abundant number, since it is smaller than the sum of its proper divisors (27117442338).

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

24945054942 is a wasteful number, since it uses less digits than its factorization.

24945054942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11169.

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 24945054942 in words is "twenty-four billion, nine hundred forty-five million, fifty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 53 71 101 106 142 159 202 213 303 318 426 606 3763 5353 7171 7526 10706 10939 11289 14342 16059 21513 21878 22578 32118 32817 43026 65634 380063 579767 760126 776669 1104839 1140189 1159534 1553338 1739301 2209678 2280378 2330007 3314517 3478602 4660014 6629034 41163457 58556467 78443569 82326914 117112934 123490371 156887138 175669401 235330707 246980742 351338802 470661414 4157509157 8315018314 12472527471 24945054942