Search a number
-
+
45114111006016 = 2613173189628889
BaseRepresentation
bin10100100000111111100101…
…00011111001010101000000
312220201212101222000212011211
422100133302203321111000
521403122144404143031
6235541045251415504
712334246504254463
oct1220376243712500
9186655358025154
1045114111006016
11134138725a4378
1250875005b4594
131c2331c775560
14b1d76b0132da
155337c53d6bb1
hex2907f28f9540

45114111006016 has 56 divisors (see below), whose sum is σ = 102080882995560. Its totient is φ = 19597079887872.

The previous prime is 45114111006001. The next prime is 45114111006047. The reversal of 45114111006016 is 61060011141154.

It can be written as a sum of positive squares in 4 ways, for example, as 15196711703616 + 29917399302400 = 3898296^2 + 5469680^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1594800301 + ... + 1594828588.

It is an arithmetic number, because the mean of its divisors is an integer number (1822872910635).

Almost surely, 245114111006016 is an apocalyptic number.

It is an amenable number.

45114111006016 is an abundant number, since it is smaller than the sum of its proper divisors (56966771989544).

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

45114111006016 is a wasteful number, since it uses less digits than its factorization.

45114111006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189628931 (or 3189628921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The spelling of 45114111006016 in words is "forty-five trillion, one hundred fourteen billion, one hundred eleven million, six thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 3189628889 6379257778 12758515556 25517031112 41465175557 51034062224 54223691113 82930351114 102068124448 108447382226 165860702228 204136248896 216894764452 331721404456 433789528904 663442808912 704907984469 867579057808 1326885617824 1409815968938 1735158115616 2653771235648 2819631937876 3470316231232 5639263875752 11278527751504 22557055503008 45114111006016