| Base | Representation |
|---|---|
| bin | 100010000110010010110110… |
| … | …111100111010010110000000 |
| 3 | 201122222121211200002001001200 |
| 4 | 202012102312330322112000 |
| 5 | 124124021132231344224 |
| 6 | 1250541255212101200 |
| 7 | 43405460636404050 |
| oct | 4206226674722600 |
| 9 | 648877750061050 |
| 10 | 149966147528064 |
| 11 | 4386931674102a |
| 12 | 149a053b464800 |
| 13 | 658a9932c712a |
| 14 | 29065864a1560 |
| 15 | 1250e6c4c25c9 |
| hex | 8864b6f3a580 |
149966147528064 has 384 divisors, whose sum is σ = 520233801984000. Its totient is φ = 40507576934400.
The previous prime is 149966147528053. The next prime is 149966147528069. The reversal of 149966147528064 is 460825741669941.
149966147528064 is a `hidden beast` number, since 1 + 4 + 9 + 96 + 6 + 1 + 4 + 7 + 528 + 0 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 149966147527983 and 149966147528001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (149966147528069) 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, 72368764 + ... + 74412164.
It is an arithmetic number, because the mean of its divisors is an integer number (1354775526000).
Almost surely, 2149966147528064 is an apocalyptic number.
149966147528064 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 149966147528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260116900992000).
149966147528064 is an abundant number, since it is smaller than the sum of its proper divisors (370267654455936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149966147528064 is a wasteful number, since it uses less digits than its factorization.
149966147528064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2043926 (or 2043911 counting only the distinct ones).
The product of its (nonzero) digits is 627056640, while the sum is 72.
The spelling of 149966147528064 in words is "one hundred forty-nine trillion, nine hundred sixty-six billion, one hundred forty-seven million, five hundred twenty-eight thousand, sixty-four".
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