| Base | Representation |
|---|---|
| bin | 100001101001111000011011… |
| … | …110101110100011110100000 |
| 3 | 201102001222001100222010112000 |
| 4 | 201221320123311310132200 |
| 5 | 123400023403243020120 |
| 6 | 1242444304542204000 |
| 7 | 43114426506561132 |
| oct | 4151703365643640 |
| 9 | 642058040863460 |
| 10 | 148013630048160 |
| 11 | 43186256500398 |
| 12 | 14726049283600 |
| 13 | 6478819092cc6 |
| 14 | 2879c7dc61052 |
| 15 | 121a292d59990 |
| hex | 869e1bd747a0 |
148013630048160 has 2304 divisors, whose sum is σ = 597885628354560. Its totient is φ = 34111881216000.
The previous prime is 148013630048117. The next prime is 148013630048203. The reversal of 148013630048160 is 61840036310841.
148013630048160 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 1 + 3 + 630 + 0 + 4 + 8 + 1 + 6 + 0 = 666.
148013630048160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (148013630048117) and next prime (148013630048203).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58712267700 + ... + 58712270220.
It is an arithmetic number, because the mean of its divisors is an integer number (259498970640).
Almost surely, 2148013630048160 is an apocalyptic number.
148013630048160 is a gapful number since it is divisible by the number (10) 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 148013630048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298942814177280).
148013630048160 is an abundant number, since it is smaller than the sum of its proper divisors (449871998306400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148013630048160 is a wasteful number, since it uses less digits than its factorization.
148013630048160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2688 (or 2657 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 148013630048160 in words is "one hundred forty-eight trillion, thirteen billion, six hundred thirty million, forty-eight thousand, one hundred sixty".
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