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13045949820783 = 32113117324571559
BaseRepresentation
bin1011110111010111111100…
…1101000110111101101111
31201012011212200012021111200
42331311333031012331233
53202221101123231113
643425120540420543
72514352540545435
oct275657715067557
951164780167450
1013045949820783
11417a8356261a0
121568486247753
137382c65b7899
143315da89cd55
1517954d693873
hexbdd7f346f6f

13045949820783 has 48 divisors (see below), whose sum is σ = 21343053588480. Its totient is φ = 7607354356800.

The previous prime is 13045949820767. The next prime is 13045949820791. The reversal of 13045949820783 is 38702894954031.

13045949820783 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 59 + 498 + 20 + 78 + 3 = 666.

It is not a de Polignac number, because 13045949820783 - 24 = 13045949820767 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13045949820783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13045949820283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11754843 + ... + 12816716.

It is an arithmetic number, because the mean of its divisors is an integer number (444646949760).

Almost surely, 213045949820783 is an apocalyptic number.

13045949820783 is a deficient number, since it is larger than the sum of its proper divisors (8297103767697).

13045949820783 is a wasteful number, since it uses less digits than its factorization.

13045949820783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24571780 (or 24571777 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 13045949820783 in words is "thirteen trillion, forty-five billion, nine hundred forty-nine million, eight hundred twenty thousand, seven hundred eighty-three".

Divisors: 1 3 9 11 31 33 93 99 173 279 341 519 1023 1557 1903 3069 5363 5709 16089 17127 48267 58993 176979 530937 24571559 73714677 221144031 270287149 761718329 810861447 2285154987 2432584341 4250879707 6855464961 8378901619 12752639121 25136704857 38257917363 46759676777 75410114571 131777270917 140279030331 395331812751 420837090993 1185995438253 1449549980087 4348649940261 13045949820783