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20064631560 = 23351917595003
BaseRepresentation
bin10010101011111100…
…011111101100001000
31220210100010220002020
4102223330133230020
5312043021202220
613114554404440
71310135361051
oct225374375410
956710126066
1020064631560
118566a63736
123a7b730720
131b79bb6a6c
14d84b0b728
157c6786040
hex4abf1fb08

20064631560 has 128 divisors (see below), whose sum is σ = 63410688000. Its totient is φ = 5065065216.

The previous prime is 20064631523. The next prime is 20064631583. The reversal of 20064631560 is 6513646002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008019 + ... + 4013021.

It is an arithmetic number, because the mean of its divisors is an integer number (495396000).

Almost surely, 220064631560 is an apocalyptic number.

20064631560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20064631560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31705344000).

20064631560 is an abundant number, since it is smaller than the sum of its proper divisors (43346056440).

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

20064631560 is a wasteful number, since it uses less digits than its factorization.

20064631560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 20064631560 in words is "twenty billion, sixty-four million, six hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1759 2280 3518 5003 5277 7036 8795 10006 10554 14072 15009 17590 20012 21108 25015 26385 30018 33421 35180 40024 42216 50030 52770 60036 66842 70360 75045 95057 100060 100263 105540 120072 133684 150090 167105 190114 200120 200526 211080 267368 285171 300180 334210 380228 401052 475285 501315 570342 600360 668420 760456 802104 950570 1002630 1140684 1336840 1425855 1901140 2005260 2281368 2851710 3802280 4010520 5703420 8800277 11406840 17600554 26400831 35201108 44001385 52801662 70402216 88002770 105603324 132004155 167205263 176005540 211206648 264008310 334410526 352011080 501615789 528016620 668821052 836026315 1003231578 1056033240 1337642104 1672052630 2006463156 2508078945 3344105260 4012926312 5016157890 6688210520 10032315780 20064631560