Base | Representation |
---|---|
bin | 100001101100011101010111… |
… | …111110000011011010100000 |
3 | 201102200220011221110210000000 |
4 | 201230131113332003122200 |
5 | 123410424110004423332 |
6 | 1243101514354300000 |
7 | 43133266332554640 |
oct | 4154352776033240 |
9 | 642626157423000 |
10 | 148190732498592 |
11 | 43244378197703 |
12 | 14754434587600 |
13 | 648c431613c84 |
14 | 2884680cc2520 |
15 | 121ebaaea9b7c |
hex | 86c757f836a0 |
148190732498592 has 1536 divisors, whose sum is σ = 544974151680000. Its totient is φ = 38703189934080.
The previous prime is 148190732498587. The next prime is 148190732498593. The reversal of 148190732498592 is 295894237091841.
It is a happy number.
148190732498592 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 9 + 0 + 7 + 3 + 24 + 9 + 8 + 592 = 666.
148190732498592 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1481907324985922 (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 a self number, because there is not a number n which added to its sum of digits gives 148190732498592.
It is not an unprimeable number, because it can be changed into a prime (148190732498593) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 146868911784 + ... + 146868912792.
It is an arithmetic number, because the mean of its divisors is an integer number (354800880000).
Almost surely, 2148190732498592 is an apocalyptic number.
148190732498592 is a gapful number since it is divisible by the number (12) 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 148190732498592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272487075840000).
148190732498592 is an abundant number, since it is smaller than the sum of its proper divisors (396783419181408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148190732498592 is a wasteful number, since it uses less digits than its factorization.
148190732498592 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1606 (or 1580 counting only the distinct ones).
The product of its (nonzero) digits is 313528320, while the sum is 72.
The spelling of 148190732498592 in words is "one hundred forty-eight trillion, one hundred ninety billion, seven hundred thirty-two million, four hundred ninety-eight thousand, five hundred ninety-two".
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