| Base | Representation |
|---|---|
| bin | 10010101011000010101… |
| … | …10010110111011001001 |
| 3 | 2021100001001022112102211 |
| 4 | 21111201112112323021 |
| 5 | 41002430321044441 |
| 6 | 1210423410225121 |
| 7 | 64232014506400 |
| oct | 11254126267311 |
| 9 | 2240031275384 |
| 10 | 641583378121 |
| 11 | 2281040aaaa4 |
| 12 | a4414b851a1 |
| 13 | 48668a75baa |
| 14 | 230a4c5a637 |
| 15 | 11a5086da81 |
| hex | 9561596ec9 |
641583378121 has 81 divisors (see below), whose sum is σ = 814469798709. Its totient is φ = 503815673088.
The previous prime is 641583378113. The next prime is 641583378133. The reversal of 641583378121 is 121873385146.
The square root of 641583378121 is 800989.
It is a perfect power (a square), and thus also a powerful number.
641583378121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 160752081721 + 480831296400 = 400939^2 + 693420^2 .
It is not a de Polignac number, because 641583378121 - 23 = 641583378113 is a prime.
It is a super-2 number, since 2×6415833781212 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (49).
It is not an unprimeable number, because it can be changed into a prime (641583372121) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5051837560 + ... + 5051837686.
Almost surely, 2641583378121 is an apocalyptic number.
641583378121 is the 800989-th square number.
641583378121 is the 400495-th centered octagonal number.
It is an amenable number.
641583378121 is a deficient number, since it is larger than the sum of its proper divisors (172886420588).
641583378121 is an equidigital number, since it uses as much as digits as its factorization.
641583378121 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 408 (or 204 counting only the distinct ones).
The product of its digits is 967680, while the sum is 49.
Multiplying 641583378121 by its sum of digits (49), we get a square (31437585527929 = 56069232).
641583378121 divided by its sum of digits (49) gives a square (13093538329 = 1144272).
The spelling of 641583378121 in words is "six hundred forty-one billion, five hundred eighty-three million, three hundred seventy-eight thousand, one hundred twenty-one".
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