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45011020000 = 25546413511
BaseRepresentation
bin101001111010110111…
…011010100011100000
311022011220011201122211
4221322313122203200
51214140310120000
632402222211504
73152262233362
oct517267324340
9138156151584
1045011020000
11180a8602591
128882123b94
13432429c05b
14226dcdad32
1512868b87ba
hexa7adda8e0

45011020000 has 120 divisors (see below), whose sum is σ = 110938200912. Its totient is φ = 17971200000.

The previous prime is 45011019983. The next prime is 45011020009. The reversal of 45011020000 is 2011054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45011020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12818245 + ... + 12821755.

Almost surely, 245011020000 is an apocalyptic number.

45011020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55469100456).

45011020000 is an abundant number, since it is smaller than the sum of its proper divisors (65927180912).

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

45011020000 is an equidigital number, since it uses as much as digits as its factorization.

45011020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 45011020000 its reverse (2011054), we get a palindrome (45013031054).

The spelling of 45011020000 in words is "forty-five billion, eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 641 800 1000 1250 1282 2000 2500 2564 3205 3511 4000 5000 5128 6410 7022 10000 10256 12820 14044 16025 17555 20000 20512 25640 28088 32050 35110 51280 56176 64100 70220 80125 87775 102560 112352 128200 140440 160250 175550 256400 280880 320500 351100 400625 438875 512800 561760 641000 702200 801250 877750 1282000 1404400 1602500 1755500 2194375 2250551 2564000 2808800 3205000 3511000 4388750 4501102 6410000 7022000 8777500 9002204 11252755 12820000 14044000 17555000 18004408 22505510 35110000 36008816 45011020 56263775 70220000 72017632 90022040 112527550 180044080 225055100 281318875 360088160 450110200 562637750 900220400 1125275500 1406594375 1800440800 2250551000 2813188750 4501102000 5626377500 9002204000 11252755000 22505510000 45011020000