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20852967438719 = 1343269138676789
BaseRepresentation
bin1001011110111001101011…
…01101110111100101111111
32201211112011011011220220222
410233130311231313211333
510213123334131014334
6112203415422331555
74251401654435333
oct457346555674577
981745134156828
1020852967438719
11670a76a535479
122409540729bbb
13b83570a23910
145214090817c3
152626782cdd2e
hex12f735b7797f

20852967438719 has 16 divisors (see below), whose sum is σ = 23064723712800. Its totient is φ = 18731351108736.

The previous prime is 20852967438691. The next prime is 20852967438763. The reversal of 20852967438719 is 91783476925802.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20852967438719 is a prime.

It is a super-2 number, since 2×208529674387192 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20852967438119) 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 15 ways as a sum of consecutive naturals, for example, 69188024 + ... + 69488765.

It is an arithmetic number, because the mean of its divisors is an integer number (1441545232050).

It is a 1-persistent number, because it is pandigital, but 2⋅20852967438719 = 41705934877438 is not.

Almost surely, 220852967438719 is an apocalyptic number.

20852967438719 is a deficient number, since it is larger than the sum of its proper divisors (2211756274081).

20852967438719 is a wasteful number, since it uses less digits than its factorization.

20852967438719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138677114.

The product of its (nonzero) digits is 365783040, while the sum is 71.

The spelling of 20852967438719 in words is "twenty trillion, eight hundred fifty-two billion, nine hundred sixty-seven million, four hundred thirty-eight thousand, seven hundred nineteen".

Divisors: 1 13 43 269 559 3497 11567 150371 138676789 1802798257 5963101927 37304056241 77520325051 484952731133 1604074418363 20852967438719