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42278480636328 = 23322988730497487
BaseRepresentation
bin10011001110011101110011…
…10100011110100110101000
312112200210011000012221122100
421213032321310132212220
521020142312020330303
6225530244343453400
711622343106643516
oct1147167164364650
9175623130187570
1042278480636328
1112520226137782
1248a9a29757260
131a78ac7570c41
14a6240a0c14b6
154d4b6106a8a3
hex2673b9d1e9a8

42278480636328 has 192 divisors, whose sum is σ = 118640920320000. Its totient is φ = 13585254552576.

The previous prime is 42278480636321. The next prime is 42278480636401. The reversal of 42278480636328 is 82363608487224.

42278480636328 is a `hidden beast` number, since 4 + 2 + 2 + 78 + 480 + 6 + 3 + 63 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (42278480636321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646915001 + ... + 5646922487.

It is an arithmetic number, because the mean of its divisors is an integer number (617921460000).

Almost surely, 242278480636328 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 42278480636328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59320460160000).

42278480636328 is an abundant number, since it is smaller than the sum of its proper divisors (76362439683672).

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

42278480636328 is a wasteful number, since it uses less digits than its factorization.

42278480636328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11464 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 42278480636328 in words is "forty-two trillion, two hundred seventy-eight billion, four hundred eighty million, six hundred thirty-six thousand, three hundred twenty-eight".