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11451326145520 = 245198893847157
BaseRepresentation
bin1010011010100011100000…
…1110100010001111110000
31111112201212121102101120211
42212220320032202033300
53000104303443124040
640204355553113504
72261221352133502
oct246507016421760
944481777371524
1011451326145520
11371553108a098
12134b415b58894
13650b174927b1
142b8366233d72
1514cd1e09e8ea
hexa6a383a23f0

11451326145520 has 80 divisors (see below), whose sum is σ = 28028798497440. Its totient is φ = 4338956823552.

The previous prime is 11451326145451. The next prime is 11451326145521. The reversal of 11451326145520 is 2554162315411.

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

It is a super-2 number, since 2×114513261455202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451326145521) 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, 13093782 + ... + 13940938.

It is an arithmetic number, because the mean of its divisors is an integer number (350359981218).

Almost surely, 211451326145520 is an apocalyptic number.

11451326145520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11451326145520 is an abundant number, since it is smaller than the sum of its proper divisors (16577472351920).

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

11451326145520 is a wasteful number, since it uses less digits than its factorization.

11451326145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856082 (or 856076 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 11451326145520 in words is "eleven trillion, four hundred fifty-one billion, three hundred twenty-six million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 8893 17786 35572 44465 71144 88930 142288 168967 177860 337934 355720 675868 711440 844835 847157 1351736 1689670 1694314 2703472 3379340 3388628 4235785 6758680 6777256 8471570 13517360 13554512 16095983 16943140 32191966 33886280 64383932 67772560 80479915 128767864 160959830 257535728 321919660 643839320 1287678640 7533767201 15067534402 30135068804 37668836005 60270137608 75337672010 120540275216 143141576819 150675344020 286283153638 301350688040 572566307276 602701376080 715707884095 1145132614552 1431415768190 2290265229104 2862831536380 5725663072760 11451326145520