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20036768814657 = 337141257750509
BaseRepresentation
bin1001000111001001011000…
…11111001101011001000001
32121221111101212110211011000
410203210230133031121001
510111240300304032112
6110340433045242213
74135415544546150
oct443445437153101
977844355424130
1020036768814657
116425600702771
1222b7315403369
13b245c7ac90ba
144d3adb643597
1524b307d5e7dc
hex12392c7cd641

20036768814657 has 32 divisors (see below), whose sum is σ = 33924973305600. Its totient is φ = 11449485869184.

The previous prime is 20036768814607. The next prime is 20036768814691. The reversal of 20036768814657 is 75641886763002.

20036768814657 is a `hidden beast` number, since 2 + 0 + 0 + 36 + 7 + 68 + 81 + 465 + 7 = 666.

It is not a de Polignac number, because 20036768814657 - 26 = 20036768814593 is a prime.

It is a super-2 number, since 2×200367688146572 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20036768814594 and 20036768814603.

It is not an unprimeable number, because it can be changed into a prime (20036768814607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26322319 + ... + 27072827.

It is an arithmetic number, because the mean of its divisors is an integer number (1060155415800).

Almost surely, 220036768814657 is an apocalyptic number.

20036768814657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20036768814657 is a deficient number, since it is larger than the sum of its proper divisors (13888204490943).

20036768814657 is a wasteful number, since it uses less digits than its factorization.

20036768814657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891782 (or 891776 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 20036768814657 in words is "twenty trillion, thirty-six billion, seven hundred sixty-eight million, eight hundred fourteen thousand, six hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 189 141257 423771 750509 988799 1271313 2251527 2966397 3813939 5253563 6754581 8899191 15760689 20263743 26697573 47282067 141846201 106014649813 318043949439 742102548691 954131848317 2226307646073 2862395544951 6678922938219 20036768814657