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54214533541245 = 3571174363174953
BaseRepresentation
bin11000101001110110011100…
…00000110110110101111101
321002221212012001120001010210
430110323032000312311331
524101222331041304440
6311145451325423033
714263604452431510
oct1424731600666575
9232855161501123
1054214533541245
11163022888a5570
1260b718170aa79
13243354084660c
14d55dd6d08d77
1564039ee63a80
hex314ece036d7d

54214533541245 has 64 divisors (see below), whose sum is σ = 108292989947904. Its totient is φ = 22500390904320.

The previous prime is 54214533541213. The next prime is 54214533541261.

It is a happy number.

54214533541245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54214533541245 - 25 = 54214533541213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54214533541194 and 54214533541203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30729312 + ... + 32445641.

It is an arithmetic number, because the mean of its divisors is an integer number (1692077967936).

Almost surely, 254214533541245 is an apocalyptic number.

54214533541245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54214533541245 is a deficient number, since it is larger than the sum of its proper divisors (54078456406659).

54214533541245 is a wasteful number, since it uses less digits than its factorization.

54214533541245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63175722.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 5421453 and 3541245, that added together give a palindrome (8962698).

The spelling of 54214533541245 in words is "fifty-four trillion, two hundred fourteen billion, five hundred thirty-three million, five hundred forty-one thousand, two hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 743 1155 2229 3715 5201 8173 11145 15603 24519 26005 40865 57211 78015 122595 171633 286055 858165 63174953 189524859 315874765 442224671 694924483 947624295 1326674013 2084773449 2211123355 3474622415 4864471381 6633370065 10423867245 14593414143 24322356905 46938990079 72967070715 140816970237 234694950395 328572930553 516328890869 704084851185 985718791659 1548986672607 1642864652765 2581644454345 3614302236083 4928593958295 7744933363035 10842906708249 18071511180415 54214533541245