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13922051494716 = 22324318714806827
BaseRepresentation
bin1100101010010111101011…
…1011110001001100111100
31211021221020201001121110100
43022211322323301030330
53311044330140312331
645335411400041100
72634556262112111
oct312457273611474
954257221047410
1013922051494716
114488344137992
12168a22aa63190
1379cac7b56041
14361b8bd54908
15192227ab4ae6
hexca97aef133c

13922051494716 has 72 divisors (see below), whose sum is σ = 36029521592064. Its totient is φ = 4530337368480.

The previous prime is 13922051494643. The next prime is 13922051494717. The reversal of 13922051494716 is 61749415022931.

13922051494716 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 20 + 5 + 149 + 471 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13922051494717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492895 + ... + 5299721.

It is an arithmetic number, because the mean of its divisors is an integer number (500410022112).

Almost surely, 213922051494716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13922051494716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014760796032).

13922051494716 is an abundant number, since it is smaller than the sum of its proper divisors (22107470097348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13922051494716 is a wasteful number, since it uses less digits than its factorization.

13922051494716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808751 (or 4808746 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13922051494716 in words is "thirteen trillion, nine hundred twenty-two billion, fifty-one million, four hundred ninety-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1871 3742 5613 7484 11226 16839 22452 33678 67356 80453 160906 241359 321812 482718 724077 965436 1448154 2896308 4806827 9613654 14420481 19227308 28840962 43261443 57681924 86522886 173045772 206693561 413387122 620080683 826774244 1240161366 1860242049 2480322732 3720484098 7440968196 8993573317 17987146634 26980719951 35974293268 53961439902 80942159853 107922879804 161884319706 323768639412 386723652631 773447305262 1160170957893 1546894610524 2320341915786 3480512873679 4640683831572 6961025747358 13922051494716