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4054856182164 = 22321711358633469
BaseRepresentation
bin111011000000011000010…
…000110010100110010100
3112100122021220021111010200
4323000120100302212110
51012413321140312124
612342435240220500
7565645054602264
oct73003020624624
915318256244120
104054856182164
111323722672207
12555a3716a730
132354a9981018
141003829b57a4
1570721d48bc9
hex3b018432994

4054856182164 has 72 divisors (see below), whose sum is σ = 10948745120040. Its totient is φ = 1260854095872.

The previous prime is 4054856182151. The next prime is 4054856182211. The reversal of 4054856182164 is 4612816584504.

4054856182164 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 8 + 5 + 618 + 2 + 16 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20615216400 + 4034240965764 = 143580^2 + 2008542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4054856182164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29247579 + ... + 29385890.

It is an arithmetic number, because the mean of its divisors is an integer number (152065904445).

Almost surely, 24054856182164 is an apocalyptic number.

It is an amenable number.

4054856182164 is an abundant number, since it is smaller than the sum of its proper divisors (6893888937876).

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

4054856182164 is a wasteful number, since it uses less digits than its factorization.

4054856182164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58633609 (or 58633604 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 4054856182164 in words is "four trillion, fifty-four billion, eight hundred fifty-six million, one hundred eighty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 113 153 204 226 306 339 452 612 678 1017 1356 1921 2034 3842 4068 5763 7684 11526 17289 23052 34578 69156 58633469 117266938 175900407 234533876 351800814 527701221 703601628 996768973 1055402442 1993537946 2110804884 2990306919 3987075892 5980613838 6625581997 8970920757 11961227676 13251163994 17941841514 19876745991 26502327988 35883683028 39753491982 59630237973 79506983964 112634893949 119260475946 225269787898 238520951892 337904681847 450539575796 675809363694 1013714045541 1351618727388 2027428091082 4054856182164