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20205556416 = 263236319661
BaseRepresentation
bin10010110100010110…
…000101001011000000
31221011011022121122100
4102310112011023000
5312340110301131
613140551110400
71313466252513
oct226426051300
957134277570
1020205556416
118629567661
123aba972400
131ba0159056
14d99712d7a
157d3d217e6
hex4b45852c0

20205556416 has 84 divisors (see below), whose sum is σ = 57937525984. Its totient is φ = 6732633600.

The previous prime is 20205556391. The next prime is 20205556417. The reversal of 20205556416 is 61465550202.

20205556416 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 5 + 5 + 5 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20205556417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2086626 + ... + 2096286.

Almost surely, 220205556416 is an apocalyptic number.

It is an amenable number.

20205556416 is an abundant number, since it is smaller than the sum of its proper divisors (37731969568).

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

20205556416 is a wasteful number, since it uses less digits than its factorization.

20205556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 20205556416 in words is "twenty billion, two hundred five million, five hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3631 7262 9661 10893 14524 19322 21786 28983 29048 32679 38644 43572 57966 58096 65358 77288 86949 87144 115932 116192 130716 154576 173898 174288 231864 232384 261432 309152 347796 348576 463728 522864 618304 695592 697152 927456 1045728 1391184 1854912 2091456 2782368 5564736 35079091 70158182 105237273 140316364 210474546 280632728 315711819 420949092 561265456 631423638 841898184 1122530912 1262847276 1683796368 2245061824 2525694552 3367592736 5051389104 6735185472 10102778208 20205556416