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226421376753 = 311133727495189
BaseRepresentation
bin1101001011011111000…
…1000000011011110001
3210122102200202200122210
43102313301000123301
512202202333024003
6252003323522333
722233634642635
oct3226761003361
9718380680583
10226421376753
118802aa67660
1237a700893a9
131847517a110
14ad5d142dc5
155d52d10503
hex34b7c406f1

226421376753 has 64 divisors (see below), whose sum is σ = 364462560000. Its totient is φ = 123177231360.

The previous prime is 226421376751. The next prime is 226421376767. The reversal of 226421376753 is 357673124622.

226421376753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226421376753 - 21 = 226421376751 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226421376751) 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 63 ways as a sum of consecutive naturals, for example, 43632283 + ... + 43637471.

It is an arithmetic number, because the mean of its divisors is an integer number (5694727500).

Almost surely, 2226421376753 is an apocalyptic number.

It is an amenable number.

226421376753 is a deficient number, since it is larger than the sum of its proper divisors (138041183247).

226421376753 is a wasteful number, since it uses less digits than its factorization.

226421376753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002.

The product of its digits is 2540160, while the sum is 48.

The spelling of 226421376753 in words is "two hundred twenty-six billion, four hundred twenty-one million, three hundred seventy-six thousand, seven hundred fifty-three".

Divisors: 1 3 11 13 33 37 39 111 143 407 429 481 1221 1443 2749 5189 5291 8247 15567 15873 30239 35737 57079 67457 90717 101713 107211 171237 191993 202371 305139 393107 575979 742027 1118843 1179321 1322269 2111923 2226081 2495909 3356529 3966807 6335769 7487727 14264561 14544959 27454999 42793683 43634877 82364997 156910171 185439293 470730513 527788757 556317879 1583366271 2039832223 5805676327 6119496669 6861253841 17417028981 20583761523 75473792251 226421376753