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42052397072 = 24717109202627
BaseRepresentation
bin100111001010100001…
…001010100000010000
311000112201000002222212
4213022201022200100
51142110403201242
631152452451252
73016045322510
oct471241124020
9130481002885
1042052397072
111691a533374
128197319b28
133c723440ba
14206cdc5840
151161c99782
hex9ca84a810

42052397072 has 80 divisors (see below), whose sum is σ = 99498453120. Its totient is φ = 16806610944.

The previous prime is 42052397063. The next prime is 42052397077. The reversal of 42052397072 is 27079325024.

It is not an unprimeable number, because it can be changed into a prime (42052397077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106223 + ... + 308849.

It is an arithmetic number, because the mean of its divisors is an integer number (1243730664).

Almost surely, 242052397072 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 42052397072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49749226560).

42052397072 is an abundant number, since it is smaller than the sum of its proper divisors (57446056048).

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

42052397072 is a wasteful number, since it uses less digits than its factorization.

42052397072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202768 (or 202762 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 42052397072 in words is "forty-two billion, fifty-two million, three hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 109 112 119 136 218 238 272 436 476 763 872 952 1526 1744 1853 1904 3052 3706 6104 7412 12208 12971 14824 25942 29648 51884 103768 202627 207536 405254 810508 1418389 1621016 2836778 3242032 3444659 5673556 6889318 11347112 13778636 22086343 22694224 24112613 27557272 44172686 48225226 55114544 88345372 96450452 154604401 176690744 192900904 309208802 353381488 375467831 385801808 618417604 750935662 1236835208 1501871324 2473670416 2628274817 3003742648 5256549634 6007485296 10513099268 21026198536 42052397072