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20164015777056 = 253297242821759
BaseRepresentation
bin1001001010110110011001…
…11111110110010100100000
32122101122211221002021011020
410211123030333312110200
510120331401014331211
6110515115421245440
74150542052101624
oct445331477662440
978348757067136
1020164015777056
11647456925aa08
122317b08103880
13b335c65072a8
144d9d2d231184
1524e7a4163306
hex1256ccff6520

20164015777056 has 48 divisors (see below), whose sum is σ = 54755732505600. Its totient is φ = 6489568295168.

The previous prime is 20164015777007. The next prime is 20164015777069. The reversal of 20164015777056 is 65077751046102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3621408096 + ... + 3621413663.

It is an arithmetic number, because the mean of its divisors is an integer number (1140744427200).

Almost surely, 220164015777056 is an apocalyptic number.

It is an amenable number.

20164015777056 is an abundant number, since it is smaller than the sum of its proper divisors (34591716728544).

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

20164015777056 is a wasteful number, since it uses less digits than its factorization.

20164015777056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242821801 (or 7242821793 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 20164015777056 in words is "twenty trillion, one hundred sixty-four billion, fifteen million, seven hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 7242821759 14485643518 21728465277 28971287036 43456930554 57942574072 86913861108 115885148144 173827722216 210041831011 231770296288 347655444432 420083662022 630125493033 695310888864 840167324044 1260250986066 1680334648088 2520501972132 3360669296176 5041003944264 6721338592352 10082007888528 20164015777056