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148079775670344 = 233271717779725879
BaseRepresentation
bin100001101010110110000010…
…011011010110000001001000
3201102022021210011121220000200
4201222312002123112001020
5123402114340032422334
61242534524304332200
743122260612231520
oct4152660233260110
9642267704556020
10148079775670344
1143201309a30351
1214736a29314060
136481b2ab1430b
14287d1569cc680
15121bd64dac799
hex86ad826d6048

148079775670344 has 192 divisors, whose sum is σ = 485576619091200. Its totient is φ = 39797359091712.

The previous prime is 148079775670283. The next prime is 148079775670381. The reversal of 148079775670344 is 443076577970841.

148079775670344 is a `hidden beast` number, since 1 + 4 + 80 + 7 + 97 + 7 + 56 + 70 + 344 = 666.

It is a super-2 number, since 2×1480797756703442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 10362397 + ... + 20088275.

It is an arithmetic number, because the mean of its divisors is an integer number (2529044891100).

Almost surely, 2148079775670344 is an apocalyptic number.

148079775670344 is a gapful number since it is divisible by the number (14) 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 148079775670344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242788309545600).

148079775670344 is an abundant number, since it is smaller than the sum of its proper divisors (337496843420856).

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

148079775670344 is a wasteful number, since it uses less digits than its factorization.

148079775670344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727692 (or 9727685 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 148079775670344 in words is "one hundred forty-eight trillion, seventy-nine billion, seven hundred seventy-five million, six hundred seventy thousand, three hundred forty-four".