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4918404645 = 345721122531
BaseRepresentation
bin1001001010010100…
…01110011000100101
3110200202211211210000
410211022032120211
540033102422040
62132014251513
7232611515100
oct44512163045
913622754700
104918404645
1120a4347230
12b531b6b99
13604c9030b
14349301737
151dbbda130
hex12528e625

4918404645 has 120 divisors (see below), whose sum is σ = 11189030688. Its totient is φ = 2043921600.

The previous prime is 4918404643. The next prime is 4918404671. The reversal of 4918404645 is 5464048194.

4918404645 is a `hidden beast` number, since 4 + 9 + 184 + 0 + 464 + 5 = 666.

It is not a de Polignac number, because 4918404645 - 21 = 4918404643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4918404645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4918404643) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 207030 + ... + 229560.

Almost surely, 24918404645 is an apocalyptic number.

4918404645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4918404645 is an abundant number, since it is smaller than the sum of its proper divisors (6270626043).

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

4918404645 is a wasteful number, since it uses less digits than its factorization.

4918404645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22573 (or 22557 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4918404645 is about 70131.3385370620. The cubic root of 4918404645 is about 1700.6231446806.

The spelling of 4918404645 in words is "four billion, nine hundred eighteen million, four hundred four thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 81 99 105 135 147 165 189 231 245 297 315 385 405 441 495 539 567 693 735 891 945 1155 1323 1485 1617 2079 2205 2695 2835 3465 3969 4455 4851 6237 6615 8085 10395 14553 19845 22531 24255 31185 43659 67593 72765 112655 157717 202779 218295 247841 337965 473151 608337 743523 788585 1013895 1104019 1239205 1419453 1734887 1825011 2230569 2365755 3041685 3312057 3717615 4258359 5204661 5520095 6691707 7097265 8674435 9125055 9936171 11152845 12144209 12775077 15613983 16560285 20075121 21291795 26023305 29808513 33458535 36432627 46841949 49680855 60721045 63875385 78069915 89425539 100375605 109297881 140525847 149042565 182163135 234209745 327893643 447127695 546489405 702629235 983680929 1639468215 4918404645