Search a number
-
+
45364566546354 = 23114116764437009
BaseRepresentation
bin10100101000010010000101…
…10111111101011110110010
312221121210212122022120011110
422110021002313331132302
521421223113013440404
6240252105535054150
712361324151240256
oct1224110267753662
9187553778276143
1045364566546354
1113500006188840
125107b59671356
131c40b25020b33
14b2b92a126266
1553a0831d5b89
hex294242dfd7b2

45364566546354 has 32 divisors (see below), whose sum is σ = 101391315036480. Its totient is φ = 13411549606400.

The previous prime is 45364566546331. The next prime is 45364566546359.

It is a happy number.

45364566546354 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (45364566546359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8382215799 + ... + 8382221210.

It is an arithmetic number, because the mean of its divisors is an integer number (3168478594890).

Almost surely, 245364566546354 is an apocalyptic number.

45364566546354 is an abundant number, since it is smaller than the sum of its proper divisors (56026748490126).

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

45364566546354 is a wasteful number, since it uses less digits than its factorization.

45364566546354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16764437066.

The product of its digits is 1866240000, while the sum is 66.

The spelling of 45364566546354 in words is "forty-five trillion, three hundred sixty-four billion, five hundred sixty-six million, five hundred forty-six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 16764437009 33528874018 50293311027 100586622054 184408807099 368817614198 553226421297 687341917369 1106452842594 1374683834738 2062025752107 4124051504214 7560761091059 15121522182118 22682283273177 45364566546354