Search a number
-
+
61506120062121 = 3779182692029351
BaseRepresentation
bin11011111110000100000100…
…11100000001010010101001
322001202221001021000000122020
431333002002130001102221
531030204013213441441
6334451304350215053
715645445664302620
oct1577020234012251
9261687037000566
1061506120062121
111866366534a779
126a9436b1b4489
132842004ba9b17
141128caab066b7
15719dae39de66
hex37f0827014a9

61506120062121 has 32 divisors (see below), whose sum is σ = 94915228262400. Its totient is φ = 34699547188800.

The previous prime is 61506120062119. The next prime is 61506120062129. The reversal of 61506120062121 is 12126002160516.

It is not a de Polignac number, because 61506120062121 - 21 = 61506120062119 is a prime.

It is a super-4 number, since 4×615061200621214 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (61506120062129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29293596 + ... + 31322946.

It is an arithmetic number, because the mean of its divisors is an integer number (2966100883200).

Almost surely, 261506120062121 is an apocalyptic number.

It is an amenable number.

61506120062121 is a deficient number, since it is larger than the sum of its proper divisors (33409108200279).

61506120062121 is a wasteful number, since it uses less digits than its factorization.

61506120062121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047709.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 61506120062121 in words is "sixty-one trillion, five hundred six billion, one hundred twenty million, sixty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 21 79 237 553 1659 18269 54807 127883 383649 1443251 2029351 4329753 6088053 10102757 14205457 30308271 42616371 160318729 480956187 1122231103 3366693309 37074213419 111222640257 259519493933 778558481799 2928862860101 8786588580303 20502040020707 61506120062121