| Base | Representation |
|---|---|
| bin | 11011110110011000010101… |
| … | …11011110011101110111000 |
| 3 | 22000211200121210022020121100 |
| 4 | 31323030022323303232320 |
| 5 | 31011342331230433331 |
| 6 | 334130124214211400 |
| 7 | 15620411606663355 |
| oct | 1573141273635670 |
| 9 | 260750553266540 |
| 10 | 61242122124216 |
| 11 | 185717023a6600 |
| 12 | 6a51172953b60 |
| 13 | 2823151a81847 |
| 14 | 111a1c51d762c |
| 15 | 7130ac70cae6 |
| hex | 37b30aef3bb8 |
61242122124216 has 288 divisors, whose sum is σ = 183589922880000. Its totient is φ = 18428705349120.
The previous prime is 61242122124181. The next prime is 61242122124257.
61242122124216 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 2 + 1 + 221 + 2 + 421 + 6 = 666.
61242122124216 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×612421221242162 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764063310 + ... + 764143458.
It is an arithmetic number, because the mean of its divisors is an integer number (637465010000).
Almost surely, 261242122124216 is an apocalyptic number.
61242122124216 is a gapful number since it is divisible by the number (66) 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 61242122124216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91794961440000).
61242122124216 is an abundant number, since it is smaller than the sum of its proper divisors (122347800755784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61242122124216 is a wasteful number, since it uses less digits than its factorization.
61242122124216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80795 (or 80777 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
It can be divided in two parts, 6124212 and 2124216, that added together give a palindrome (8248428).
The spelling of 61242122124216 in words is "sixty-one trillion, two hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred sixteen".
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