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12416333361421 = 112130778511343
BaseRepresentation
bin1011010010101110011100…
…1000111011000100001101
31121221222201121202012111011
42310223213020323010031
53111412122320031141
642223552414525221
72421023213132023
oct264534710730415
947858647665434
1012416333361421
113a57812542400
121486450b06811
136c0b16b92c12
1430cd4d0cc713
15167e9d70d881
hexb4ae723b10d

12416333361421 has 12 divisors (see below), whose sum is σ = 13658147447616. Its totient is φ = 11278939391720.

The previous prime is 12416333361409. The next prime is 12416333361427.

12416333361421 is nontrivially palindromic in base 10.

12416333361421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12416333361421 - 27 = 12416333361293 is a prime.

It is a super-2 number, since 2×124163333614212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12416333361427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39097525 + ... + 39413818.

It is an arithmetic number, because the mean of its divisors is an integer number (1138178953968).

Almost surely, 212416333361421 is an apocalyptic number.

12416333361421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12416333361421 is a deficient number, since it is larger than the sum of its proper divisors (1241814086195).

12416333361421 is a wasteful number, since it uses less digits than its factorization.

12416333361421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78512672 (or 78512661 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The spelling of 12416333361421 in words is "twelve trillion, four hundred sixteen billion, three hundred thirty-three million, three hundred sixty-one thousand, four hundred twenty-one".

Divisors: 1 11 121 1307 14377 158147 78511343 863624773 9499872503 102614325301 1128757578311 12416333361421