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11215453520 = 2451737322109
BaseRepresentation
bin10100111000111111…
…00011110101010000
31001221121212001220102
422130133203311100
5140432124003040
65052522031532
7544633532135
oct123437436520
931847761812
1011215453520
114835916257
1222100485a8
13109976283b
1478575658c
1545994c515
hex29c7e3d50

11215453520 has 80 divisors (see below), whose sum is σ = 27685080720. Its totient is φ = 4210778112.

The previous prime is 11215453507. The next prime is 11215453523. The reversal of 11215453520 is 2535451211.

It can be written as a sum of positive squares in 8 ways, for example, as 153462544 + 11061990976 = 12388^2 + 105176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11215453523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496226 + ... + 518334.

It is an arithmetic number, because the mean of its divisors is an integer number (346063509).

Almost surely, 211215453520 is an apocalyptic number.

11215453520 is a gapful number since it is divisible by the number (10) 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 11215453520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13842540360).

11215453520 is an abundant number, since it is smaller than the sum of its proper divisors (16469627200).

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

11215453520 is a wasteful number, since it uses less digits than its factorization.

11215453520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22512 (or 22506 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 11215453520 in words is "eleven billion, two hundred fifteen million, four hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 373 680 746 1360 1492 1865 2984 3730 5968 6341 7460 12682 14920 22109 25364 29840 31705 44218 50728 63410 88436 101456 110545 126820 176872 221090 253640 353744 375853 442180 507280 751706 884360 1503412 1768720 1879265 3006824 3758530 6013648 7517060 8246657 15034120 16493314 30068240 32986628 41233285 65973256 82466570 131946512 140193169 164933140 280386338 329866280 560772676 659732560 700965845 1121545352 1401931690 2243090704 2803863380 5607726760 11215453520