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42710589270448 = 241117317920812801
BaseRepresentation
bin10011011011000010101011…
…00000000110100110110000
312121020002111101211221020021
421231201111200012212300
521044232241323123243
6230500550203253224
711665511134510651
oct1155412540064660
9177202441757207
1042710589270448
11126775061a9130
124959721b1a214
131aaa78c096168
14a792bc785528
154e100175d6ed
hex26d8558069b0

42710589270448 has 320 divisors, whose sum is σ = 100000982384640. Its totient is φ = 17444044800000.

The previous prime is 42710589270409. The next prime is 42710589270473. The reversal of 42710589270448 is 84407298501724.

It is a super-2 number, since 2×427105892704482 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15248334648 + ... + 15248337448.

It is an arithmetic number, because the mean of its divisors is an integer number (312503069952).

Almost surely, 242710589270448 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 42710589270448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50000491192320).

42710589270448 is an abundant number, since it is smaller than the sum of its proper divisors (57290393114192).

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

42710589270448 is a wasteful number, since it uses less digits than its factorization.

42710589270448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 42710589270448 in words is "forty-two trillion, seven hundred ten billion, five hundred eighty-nine million, two hundred seventy thousand, four hundred forty-eight".