Base | Representation |
---|---|
bin | 10001010100000110011101… |
… | …100111110000110000000000 |
3 | 100222121200121101101111110000 |
4 | 101110012131213300300000 |
5 | 34440102322111340432 |
6 | 425541544020240000 |
7 | 22016343251213454 |
oct | 2124063547606000 |
9 | 328550541344400 |
10 | 76148119636992 |
11 | 222992663a3107 |
12 | 865a023240000 |
13 | 3364976b99500 |
14 | 14b38353b0664 |
15 | 8c0bc242d57c |
hex | 45419d9f0c00 |
76148119636992 has 2640 divisors, whose sum is σ = 279879810693120. Its totient is φ = 20495794176000.
The previous prime is 76148119636987. The next prime is 76148119636993. The reversal of 76148119636992 is 29963691184167.
It is a happy number.
76148119636992 is a `hidden beast` number, since 7 + 6 + 14 + 81 + 1 + 96 + 369 + 92 = 666.
It is a super-2 number, since 2×761481196369922 (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 76148119636992.
It is not an unprimeable number, because it can be changed into a prime (76148119636993) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 189895559992 + ... + 189895560392.
It is an arithmetic number, because the mean of its divisors is an integer number (106015079808).
Almost surely, 276148119636992 is an apocalyptic number.
76148119636992 is a gapful number since it is divisible by the number (72) 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 76148119636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139939905346560).
76148119636992 is an abundant number, since it is smaller than the sum of its proper divisors (203731691056128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76148119636992 is a wasteful number, since it uses less digits than its factorization.
76148119636992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 532 (or 492 counting only the distinct ones).
The product of its digits is 211631616, while the sum is 72.
The spelling of 76148119636992 in words is "seventy-six trillion, one hundred forty-eight billion, one hundred nineteen million, six hundred thirty-six thousand, nine hundred ninety-two".
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