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54431213445 = 32571731327889
BaseRepresentation
bin110010101100010110…
…100110011110000101
312012111101221010201100
4302230112212132011
51342433342312240
641001053450313
73634566452250
oct625426463605
9165441833640
1054431213445
11210a2001324
12a670aa0999
135195b1110b
1428c5052097
1516388e6e30
hexcac5a6785

54431213445 has 96 divisors (see below), whose sum is σ = 117851535360. Its totient is φ = 22663618560.

The previous prime is 54431213443. The next prime is 54431213467.

54431213445 is a `hidden beast` number, since 5 + 4 + 431 + 213 + 4 + 4 + 5 = 666.

54431213445 is nontrivially palindromic in base 10.

54431213445 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 54431213445 - 21 = 54431213443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54431213443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2061 + ... + 329949.

It is an arithmetic number, because the mean of its divisors is an integer number (1227620160).

Almost surely, 254431213445 is an apocalyptic number.

It is an amenable number.

54431213445 is an abundant number, since it is smaller than the sum of its proper divisors (63420321915).

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

54431213445 is a wasteful number, since it uses less digits than its factorization.

54431213445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327955 (or 327952 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 54431213445 in words is "fifty-four billion, four hundred thirty-one million, two hundred thirteen thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 31 35 45 51 63 85 93 105 119 153 155 217 255 279 315 357 465 527 595 651 765 1071 1085 1395 1581 1785 1953 2635 3255 3689 4743 5355 7905 9765 11067 18445 23715 33201 55335 166005 327889 983667 1639445 2295223 2951001 4918335 5574113 6885669 10164559 11476115 14755005 16722339 20657007 27870565 30493677 34428345 39018791 50167017 50822795 71151913 83611695 91481031 103285035 117056373 152468385 172797503 195093955 213455739 250835085 351169119 355759565 457405155 518392509 585281865 640367217 863987515 1067278695 1209582521 1555177527 1755845595 2591962545 3201836085 3628747563 6047912605 7775887635 10886242689 18143737815 54431213445