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42126758320 = 2452771901027
BaseRepresentation
bin100111001110111100…
…110101000110110000
311000201212221001110011
4213032330311012300
51142233422231240
631204110344304
73020640352243
oct471674650660
9130655831404
1042126758320
1116958503049
1281b81bb094
133c8487ba3a
142078c2125a
1511685876ea
hex9cef351b0

42126758320 has 40 divisors (see below), whose sum is σ = 98298355824. Its totient is φ = 16789861632.

The previous prime is 42126758243. The next prime is 42126758321. The reversal of 42126758320 is 2385762124.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42126758321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 928354 + ... + 972673.

Almost surely, 242126758320 is an apocalyptic number.

42126758320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42126758320 is an abundant number, since it is smaller than the sum of its proper divisors (56171597504).

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

42126758320 is a wasteful number, since it uses less digits than its factorization.

42126758320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901317 (or 1901311 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 42126758320 in words is "forty-two billion, one hundred twenty-six million, seven hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 554 1108 1385 2216 2770 4432 5540 11080 22160 1901027 3802054 7604108 9505135 15208216 19010270 30416432 38020540 76041080 152082160 526584479 1053168958 2106337916 2632922395 4212675832 5265844790 8425351664 10531689580 21063379160 42126758320