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4540760712 = 23323110719013
BaseRepresentation
bin1000011101010011…
…01000001010001000
3102201110020112200200
410032221220022020
533244413320322
62030324132200
7220344554265
oct41651501210
912643215620
104540760712
111a20160804
12a68837060
13574978677
143110ba26c
151b89908ac
hex10ea68288

4540760712 has 96 divisors (see below), whose sum is σ = 12813914880. Its totient is φ = 1450995840.

The previous prime is 4540760711. The next prime is 4540760747. The reversal of 4540760712 is 2170670454.

4540760712 is a `hidden beast` number, since 4 + 5 + 40 + 7 + 607 + 1 + 2 = 666.

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 (4540760711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229318 + ... + 248330.

It is an arithmetic number, because the mean of its divisors is an integer number (133478280).

Almost surely, 24540760712 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 4540760712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406957440).

4540760712 is an abundant number, since it is smaller than the sum of its proper divisors (8273154168).

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

4540760712 is a wasteful number, since it uses less digits than its factorization.

4540760712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19163 (or 19156 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4540760712 is about 67385.1668544347. The cubic root of 4540760712 is about 1655.9334234244.

The spelling of 4540760712 in words is "four billion, five hundred forty million, seven hundred sixty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 107 124 186 214 248 279 321 372 428 558 642 744 856 963 1116 1284 1926 2232 2568 3317 3852 6634 7704 9951 13268 19013 19902 26536 29853 38026 39804 57039 59706 76052 79608 114078 119412 152104 171117 228156 238824 342234 456312 589403 684468 1178806 1368936 1768209 2034391 2357612 3536418 4068782 4715224 5304627 6103173 7072836 8137564 10609254 12206346 14145672 16275128 18309519 21218508 24412692 36619038 42437016 48825384 63066121 73238076 126132242 146476152 189198363 252264484 378396726 504528968 567595089 756793452 1135190178 1513586904 2270380356 4540760712