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20446161408 = 293213133871
BaseRepresentation
bin10011000010101011…
…111010101000000000
31221202221001121122100
4103002223322220000
5313333204131113
613220504110400
71322450335011
oct230253725000
957687047570
1020446161408
118742363762
123b67465400
131c0ac5c37a
14dbd665008
157e9eebd73
hex4c2afaa00

20446161408 has 120 divisors (see below), whose sum is σ = 59461212096. Its totient is φ = 6763161600.

The previous prime is 20446161403. The next prime is 20446161469. The reversal of 20446161408 is 80416164402.

It is a happy number.

20446161408 is a `hidden beast` number, since 20 + 4 + 4 + 616 + 14 + 0 + 8 = 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 (20446161403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586713 + ... + 620583.

Almost surely, 220446161408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20446161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730606048).

20446161408 is an abundant number, since it is smaller than the sum of its proper divisors (39015050688).

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

20446161408 is a wasteful number, since it uses less digits than its factorization.

20446161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34026 (or 34007 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20446161408 in words is "twenty billion, four hundred forty-six million, one hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 512 524 576 768 786 1048 1152 1179 1536 1572 2096 2304 2358 3144 4192 4608 4716 6288 8384 9432 12576 16768 18864 25152 33536 33871 37728 50304 67072 67742 75456 100608 101613 135484 150912 201216 203226 270968 301824 304839 406452 541936 603648 609678 812904 1083872 1219356 1625808 2167744 2438712 3251616 4335488 4437101 4877424 6503232 8670976 8874202 9754848 13006464 13311303 17341952 17748404 19509696 26012928 26622606 35496808 39019392 39933909 52025856 53245212 70993616 78038784 79867818 106490424 141987232 156077568 159735636 212980848 283974464 319471272 425961696 567948928 638942544 851923392 1135897856 1277885088 1703846784 2271795712 2555770176 3407693568 5111540352 6815387136 10223080704 20446161408