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45056462112 = 253357790379
BaseRepresentation
bin101001111101100100…
…110000110100100000
311022022001200102112000
4221331210300310200
51214233423241422
632410524204000
73153353415564
oct517544606440
9138261612460
1045056462112
111812121a952
128895399600
13433081c98c
142275d696a4
15128a892cac
hexa7d930d20

45056462112 has 96 divisors (see below), whose sum is σ = 131643892800. Its totient is φ = 14992625664.

The previous prime is 45056462111. The next prime is 45056462137. The reversal of 45056462112 is 21126465054.

45056462112 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 646 + 2 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45056462111) 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, 453339 + ... + 543717.

It is an arithmetic number, because the mean of its divisors is an integer number (1371290550).

Almost surely, 245056462112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45056462112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65821946400).

45056462112 is an abundant number, since it is smaller than the sum of its proper divisors (86587430688).

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

45056462112 is a wasteful number, since it uses less digits than its factorization.

45056462112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90975 (or 90961 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45056462112 in words is "forty-five billion, fifty-six million, four hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 577 864 1154 1731 2308 3462 4616 5193 6924 9232 10386 13848 15579 18464 20772 27696 31158 41544 55392 62316 83088 90379 124632 166176 180758 249264 271137 361516 498528 542274 723032 813411 1084548 1446064 1626822 2169096 2440233 2892128 3253644 4338192 4880466 6507288 8676384 9760932 13014576 19521864 26029152 39043728 52148683 78087456 104297366 156446049 208594732 312892098 417189464 469338147 625784196 834378928 938676294 1251568392 1408014441 1668757856 1877352588 2503136784 2816028882 3754705176 5006273568 5632057764 7509410352 11264115528 15018820704 22528231056 45056462112