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11453642225300 = 225211181277207679
BaseRepresentation
bin1010011010101100001001…
…0001101011011010010100
31111112221212000112102202102
42212223002101223122110
53000124024402202200
640205421450501232
72261332634365622
oct246530221533224
944487760472672
1011453642225300
11371650a493110
12134b961734818
136510c62778c2
142b8505a8a512
1514ce0759a6d5
hexa6ac246b694

11453642225300 has 144 divisors (see below), whose sum is σ = 27362252037120. Its totient is φ = 4126977216000.

The previous prime is 11453642225261. The next prime is 11453642225303. The reversal of 11453642225300 is 352224635411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11453642225303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55046861 + ... + 55254539.

Almost surely, 211453642225300 is an apocalyptic number.

11453642225300 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 11453642225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681126018560).

11453642225300 is an abundant number, since it is smaller than the sum of its proper divisors (15908609811820).

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

11453642225300 is a wasteful number, since it uses less digits than its factorization.

11453642225300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208162 (or 208155 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 11453642225300 in words is "eleven trillion, four hundred fifty-three billion, six hundred forty-two million, two hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 181 220 275 277 362 550 554 724 905 1100 1108 1385 1810 1991 2770 3047 3620 3982 4525 5540 6094 6925 7964 9050 9955 12188 13850 15235 18100 19910 27700 30470 39820 49775 50137 60940 76175 99550 100274 152350 199100 200548 207679 250685 304700 415358 501370 551507 830716 1002740 1038395 1103014 1253425 2076790 2206028 2284469 2506850 2757535 4153580 4568938 5013700 5191975 5515070 9137876 10383950 11030140 11422345 13787675 20767900 22844690 27575350 37589899 45689380 55150700 57111725 57527083 75179798 114223450 115054166 150359596 187949495 228446900 230108332 287635415 375898990 413488889 575270830 632797913 751797980 826977778 939747475 1150541660 1265595826 1438177075 1653955556 1879494950 2067444445 2531191652 2876354150 3163989565 3758989900 4134888890 5752708300 6327979130 8269777780 10337222225 10412402023 12655958260 15819947825 20674444450 20824804046 31639895650 41348888900 41649608092 52062010115 63279791300 104124020230 114536422253 208248040460 229072844506 260310050575 458145689012 520620101150 572682111265 1041240202300 1145364222530 2290728445060 2863410556325 5726821112650 11453642225300