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20403231005745 = 3357210329945521
BaseRepresentation
bin1001010001110011111110…
…10101100001110000110001
32200020112022020201222022000
410220321333111201300301
510133241304114140440
6111221040454004213
74204041041020500
oct450717725416061
980215266658260
1020403231005745
116556a63a9a915
122356348946669
13b5002a1285a3
1450774359a837
15255b05254730
hex128e7f561c31

20403231005745 has 96 divisors (see below), whose sum is σ = 42604093059840. Its totient is φ = 9236635752960.

The previous prime is 20403231005743. The next prime is 20403231005749. The reversal of 20403231005745 is 54750013230402.

20403231005745 is a `hidden beast` number, since 2 + 0 + 40 + 32 + 3 + 10 + 0 + 574 + 5 = 666.

It is not a de Polignac number, because 20403231005745 - 21 = 20403231005743 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20403231005743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14291416 + ... + 15654105.

It is an arithmetic number, because the mean of its divisors is an integer number (443792636040).

Almost surely, 220403231005745 is an apocalyptic number.

It is an amenable number.

20403231005745 is an abundant number, since it is smaller than the sum of its proper divisors (22200862054095).

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

20403231005745 is a wasteful number, since it uses less digits than its factorization.

20403231005745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29945652 (or 29945639 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 20403231005745 in words is "twenty trillion, four hundred three billion, two hundred thirty-one million, five thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 103 105 135 147 189 245 309 315 441 515 721 735 927 945 1323 1545 2163 2205 2781 3605 4635 5047 6489 6615 10815 13905 15141 19467 25235 32445 45423 75705 97335 136269 227115 681345 29945521 89836563 149727605 209618647 269509689 449182815 628855941 808529067 1048093235 1347548445 1467330529 1886567823 3084388663 3144279705 4042645335 4401991587 5659703469 7336652645 9253165989 9432839115 13205974761 15421943315 21590720641 22009957935 27759497967 28298517345 39617924283 46265829945 64772161923 66029873805 83278493901 107953603205 138797489835 151135044487 194316485769 198089621415 323860809615 416392469505 453405133461 582949457307 755675222435 971582428845 1360215400383 2267025667305 2914747286535 4080646201149 6801077001915 20403231005745