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21253612366032 = 2434334944965713
BaseRepresentation
bin1001101010100011111100…
…00000111110100011010000
32210020211021210021222212120
410311101332000332203100
510241204344231203112
6113111435201454240
74322344220225034
oct465217600764320
983224253258776
1021253612366032
116854674111252
122473113941380
13bb228cb5b047
14536974b641c4
1526ccc661be8c
hex13547e03e8d0

21253612366032 has 160 divisors (see below), whose sum is σ = 56469354480000. Its totient is φ = 6884481171456.

The previous prime is 21253612366027. The next prime is 21253612366153. The reversal of 21253612366032 is 23066321635212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323398008 + ... + 323463720.

It is an arithmetic number, because the mean of its divisors is an integer number (352933465500).

Almost surely, 221253612366032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21253612366032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28234677240000).

21253612366032 is an abundant number, since it is smaller than the sum of its proper divisors (35215742113968).

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

21253612366032 is a wasteful number, since it uses less digits than its factorization.

21253612366032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66565 (or 66559 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 21253612366032 in words is "twenty-one trillion, two hundred fifty-three billion, six hundred twelve million, three hundred sixty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 349 449 516 688 698 898 1032 1047 1347 1396 1796 2064 2094 2694 2792 3592 4188 5388 5584 7184 8376 10776 15007 16752 19307 21552 30014 38614 45021 57921 60028 65713 77228 90042 115842 120056 131426 154456 156701 180084 197139 231684 240112 262852 308912 313402 360168 394278 463368 470103 525704 626804 720336 788556 926736 940206 1051408 1253608 1577112 1880412 2507216 2825659 3154224 3760824 5651318 6738143 7521648 8476977 11302636 13476286 16953954 20214429 22605272 22933837 26952572 29505137 33907908 40428858 45210544 45867674 53905144 59010274 67815816 68801511 80857716 88515411 91735348 107810288 118020548 135631632 137603022 161715432 177030822 183470696 236041096 275206044 323430864 354061644 366941392 472082192 550412088 708123288 986154991 1100824176 1268720891 1416246576 1972309982 2537441782 2958464973 3806162673 3944619964 5074883564 5916929946 7612325346 7889239928 10149767128 10297292813 11833859892 15224650692 15778479856 20299534256 20594585626 23667719784 30449301384 30891878439 41189171252 47335439568 60898602768 61783756878 82378342504 123567513756 164756685008 247135027512 442783590959 494270055024 885567181918 1328350772877 1771134363836 2656701545754 3542268727672 5313403091508 7084537455344 10626806183016 21253612366032