Search a number
-
+
461279670021 = 3623186114783
BaseRepresentation
bin1101011011001100110…
…10010010111100000101
31122002122101002011000000
412231212122102330011
530024200043420041
6551524200111513
745216640334052
oct6554632227405
91562571064000
10461279670021
1116869a391495
1275495765599
1334663235b11
141847c9a4029
15beeb672bb6
hex6b66692f05

461279670021 has 56 divisors (see below), whose sum is σ = 722109459456. Its totient is φ = 293971407840.

The previous prime is 461279670017. The next prime is 461279670073. The reversal of 461279670021 is 120076972164.

461279670021 is a `hidden beast` number, since 4 + 612 + 7 + 9 + 6 + 7 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 461279670021 - 22 = 461279670017 is a prime.

It is a super-2 number, since 2×4612796700212 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461279677021) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31195996 + ... + 31210778.

It is an arithmetic number, because the mean of its divisors is an integer number (12894811776).

Almost surely, 2461279670021 is an apocalyptic number.

It is an amenable number.

461279670021 is a deficient number, since it is larger than the sum of its proper divisors (260829789435).

461279670021 is a wasteful number, since it uses less digits than its factorization.

461279670021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685 (or 16670 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 461279670021 in words is "four hundred sixty-one billion, two hundred seventy-nine million, six hundred seventy thousand, twenty-one".

Divisors: 1 3 9 23 27 69 81 207 243 621 729 1861 1863 5583 5589 14783 16749 16767 42803 44349 50247 128409 133047 150741 340009 385227 399141 452223 1020027 1155681 1197423 1356669 3060081 3467043 3592269 9180243 10401129 10776807 27511163 27540729 31203387 82533489 82622187 247600467 247866561 632756749 742801401 1898270247 2228404203 5694810741 6685212609 17084432223 20055637827 51253296669 153759890007 461279670021