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45388954544 = 24311494391399
BaseRepresentation
bin101010010001011001…
…000111101110110000
311100011020022210101112
4222101121013232300
51220424033021134
632503522452452
73164531514353
oct522131075660
9140136283345
1045388954544
111828197738a
128968804128
13438468606b
1422a819a29a
1512a9b6e1ce
hexa91647bb0

45388954544 has 80 divisors (see below), whose sum is σ = 91660800000. Its totient is φ = 21749748480.

The previous prime is 45388954531. The next prime is 45388954609. The reversal of 45388954544 is 44545988354.

It is a super-3 number, since 3×453889545443 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32443157 + ... + 32444555.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760000).

Almost surely, 245388954544 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 45388954544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400000).

45388954544 is an abundant number, since it is smaller than the sum of its proper divisors (46271845456).

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

45388954544 is a wasteful number, since it uses less digits than its factorization.

45388954544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 59.

The spelling of 45388954544 in words is "forty-five billion, three hundred eighty-eight million, nine hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 149 248 298 439 496 596 878 1192 1399 1756 2384 2798 3512 4619 5596 7024 9238 11192 13609 18476 22384 27218 36952 43369 54436 65411 73904 86738 108872 130822 173476 208451 217744 261644 346952 416902 523288 614161 693904 833804 1046576 1228322 1667608 2027741 2456644 3335216 4055482 4913288 6461981 8110964 9826576 12923962 16221928 19038991 25847924 32443856 38077982 51695848 76155964 91509989 103391696 152311928 183019978 304623856 366039956 732079912 1464159824 2836809659 5673619318 11347238636 22694477272 45388954544