| Base | Representation |
|---|---|
| bin | 100001101001010010000011… |
| … | …001010010101101000100000 |
| 3 | 201101221000122221100010222200 |
| 4 | 201221102003022111220200 |
| 5 | 123343340000413312021 |
| 6 | 1242413331035133200 |
| 7 | 43111440233400132 |
| oct | 4151220312255040 |
| 9 | 641830587303880 |
| 10 | 147972413807136 |
| 11 | 4316a825a63486 |
| 12 | 1471a065ba4200 |
| 13 | 647497b050ac9 |
| 14 | 2877c8dd37052 |
| 15 | 121917e6ca126 |
| hex | 869483295a20 |
147972413807136 has 288 divisors, whose sum is σ = 423822711312000. Its totient is φ = 48971079843840.
The previous prime is 147972413807129. The next prime is 147972413807143. The reversal of 147972413807136 is 631708314279741.
147972413807136 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 7 + 2 + 413 + 80 + 7 + 136 = 666.
It is an interprime number because it is at equal distance from previous prime (147972413807129) and next prime (147972413807143).
It is a tau number, because it is divible by the number of its divisors (288).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26240893405 + ... + 26240899043.
It is an arithmetic number, because the mean of its divisors is an integer number (1471606636500).
Almost surely, 2147972413807136 is an apocalyptic number.
147972413807136 is a gapful number since it is divisible by the number (16) 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 147972413807136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211911355656000).
147972413807136 is an abundant number, since it is smaller than the sum of its proper divisors (275850297504864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147972413807136 is a wasteful number, since it uses less digits than its factorization.
147972413807136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7072 (or 7061 counting only the distinct ones).
The product of its (nonzero) digits is 42674688, while the sum is 63.
The spelling of 147972413807136 in words is "one hundred forty-seven trillion, nine hundred seventy-two billion, four hundred thirteen million, eight hundred seven thousand, one hundred thirty-six".
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