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42197379840 = 28335711101157
BaseRepresentation
bin100111010011001010…
…001110101100000000
311000220210210222222000
4213103022032230000
51142410012123330
631215112144000
73022455545010
oct472312165400
9130823728860
1042197379840
1116994359040
128217998000
133c963a7415
142084365c40
15116e887560
hex9d328eb00

42197379840 has 1152 divisors, whose sum is σ = 189740759040. Its totient is φ = 8626176000.

The previous prime is 42197379817. The next prime is 42197379841. The reversal of 42197379840 is 4897379124.

42197379840 is a `hidden beast` number, since 4 + 2 + 197 + 379 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×421973798402 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42197379841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268773042 + ... + 268773198.

It is an arithmetic number, because the mean of its divisors is an integer number (164705520).

Almost surely, 242197379840 is an apocalyptic number.

42197379840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42197379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94870379520).

42197379840 is an abundant number, since it is smaller than the sum of its proper divisors (147543379200).

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

42197379840 is a wasteful number, since it uses less digits than its factorization.

42197379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 42197379840 in words is "forty-two billion, one hundred ninety-seven million, three hundred seventy-nine thousand, eight hundred forty".