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45027081648 = 24324217191033
BaseRepresentation
bin101001111011110100…
…101011110110110000
311022020000101202002200
4221323310223312300
51214203413103043
632403554343200
73152545610343
oct517364536660
9138200352080
1045027081648
111810668297a
12888758ab00
1343277039a3
1422720bc45a
151287edc7d3
hexa7bd2bdb0

45027081648 has 120 divisors (see below), whose sum is σ = 126610735680. Its totient is φ = 14938076160.

The previous prime is 45027081527. The next prime is 45027081707. The reversal of 45027081648 is 84618072054.

45027081648 is a `hidden beast` number, since 4 + 502 + 7 + 0 + 81 + 64 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43588140 + ... + 43589172.

It is an arithmetic number, because the mean of its divisors is an integer number (1055089464).

Almost surely, 245027081648 is an apocalyptic number.

45027081648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45027081648 is an abundant number, since it is smaller than the sum of its proper divisors (81583654032).

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

45027081648 is a wasteful number, since it uses less digits than its factorization.

45027081648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 45027081648 in words is "forty-five billion, twenty-seven million, eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 421 719 842 1033 1263 1438 1684 2066 2157 2526 2876 3099 3368 3789 4132 4314 5052 5752 6198 6471 6736 7578 8264 8628 9297 10104 11504 12396 12942 15156 16528 17256 18594 20208 24792 25884 30312 34512 37188 49584 51768 60624 74376 103536 148752 302699 434893 605398 742727 869786 908097 1210796 1304679 1485454 1739572 1816194 2228181 2421592 2609358 2724291 2970908 3479144 3632388 3914037 4456362 4843184 5218716 5448582 5941816 6684543 6958288 7264776 7828074 8912724 10437432 10897164 11883632 13369086 14529552 15656148 17825448 20874864 21794328 26738172 31312296 35650896 43588656 53476344 62624592 106952688 312688067 625376134 938064201 1250752268 1876128402 2501504536 2814192603 3752256804 5003009072 5628385206 7504513608 11256770412 15009027216 22513540824 45027081648