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20046022006440 = 2335473554259221
BaseRepresentation
bin1001000111011010101000…
…00001010101011010101000
32121222101021201222122222210
410203231110001111122220
510111413223113201230
6110345003153245120
74136164053434523
oct443552401253250
977871251878883
1020046022006440
116429519907701
1222b90782637a0
13b25440b68801
144d4338525bba
1524b69a3a0eb0
hex123b540556a8

20046022006440 has 64 divisors (see below), whose sum is σ = 61417599356160. Its totient is φ = 5231869571840.

The previous prime is 20046022006433. The next prime is 20046022006459. The reversal of 20046022006440 is 4460022064002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20046022006398 and 20046022006407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1777123971 + ... + 1777135250.

It is an arithmetic number, because the mean of its divisors is an integer number (959649989940).

Almost surely, 220046022006440 is an apocalyptic number.

20046022006440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20046022006440 is an abundant number, since it is smaller than the sum of its proper divisors (41371577349720).

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

20046022006440 is a wasteful number, since it uses less digits than its factorization.

20046022006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554259282 (or 3554259278 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 20046022006440 in words is "twenty trillion, forty-six billion, twenty-two million, six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 3554259221 7108518442 10662777663 14217036884 17771296105 21325555326 28434073768 35542592210 42651110652 53313888315 71085184420 85302221304 106627776630 142170368840 167050183387 213255553260 334100366774 426511106520 501150550161 668200733548 835250916935 1002301100322 1336401467096 1670501833870 2004602200644 2505752750805 3341003667740 4009204401288 5011505501610 6682007335480 10023011003220 20046022006440