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21114262513152 = 29324582088219
BaseRepresentation
bin1001100110100000011000…
…00111011110011000000000
32202202111121020222000022100
410303100030013132120000
510231414002200410102
6112523431442510400
74306312052064264
oct463201407363000
982674536860270
1021114262513152
116800565817286
122450103965400
13ba20b2ba1cb3
1452dd15a140a4
1526936ca21a1c
hex13340c1de600

21114262513152 has 60 divisors (see below), whose sum is σ = 60937191237780. Its totient is φ = 7038087502848.

The previous prime is 21114262513121. The next prime is 21114262513207. The reversal of 21114262513152 is 25131526241112.

21114262513152 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 4 + 2 + 625 + 13 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2291039502 + ... + 2291048717.

It is an arithmetic number, because the mean of its divisors is an integer number (1015619853963).

Almost surely, 221114262513152 is an apocalyptic number.

It is an amenable number.

21114262513152 is an abundant number, since it is smaller than the sum of its proper divisors (39822928724628).

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

21114262513152 is an equidigital number, since it uses as much as digits as its factorization.

21114262513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582088243 (or 4582088224 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 21114262513152 its reverse (25131526241112), we get a palindrome (46245788754264).

The spelling of 21114262513152 in words is "twenty-one trillion, one hundred fourteen billion, two hundred sixty-two million, five hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 4582088219 9164176438 13746264657 18328352876 27492529314 36656705752 41238793971 54985058628 73313411504 82477587942 109970117256 146626823008 164955175884 219940234512 293253646016 329910351768 439880469024 586507292032 659820703536 879760938048 1173014584064 1319641407072 1759521876096 2346029168128 2639282814144 3519043752192 5278565628288 7038087504384 10557131256576 21114262513152