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21064426000 = 2453195310459
BaseRepresentation
bin10011100111100010…
…011010001000010000
32000101000102201012221
4103213202122020100
5321114443113000
613402111430424
71343665444462
oct234742321020
960330381187
1021064426000
118a2a357032
1240ba525414
131ca90814c7
14103b804132
1583442661a
hex4e789a210

21064426000 has 160 divisors (see below), whose sum is σ = 54631324800. Its totient is φ = 7830950400.

The previous prime is 21064425989. The next prime is 21064426001. The reversal of 21064426000 is 62446012.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21064426001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2008771 + ... + 2019229.

It is an arithmetic number, because the mean of its divisors is an integer number (341445780).

Almost surely, 221064426000 is an apocalyptic number.

21064426000 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 21064426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27315662400).

21064426000 is an abundant number, since it is smaller than the sum of its proper divisors (33566898800).

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

21064426000 is a wasteful number, since it uses less digits than its factorization.

21064426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10554 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 21064426000 in words is "twenty-one billion, sixty-four million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 53 76 80 95 100 106 125 152 190 200 212 250 265 304 380 400 424 475 500 530 760 848 950 1000 1007 1060 1325 1520 1900 2000 2014 2120 2375 2650 3800 4028 4240 4750 5035 5300 6625 7600 8056 9500 10070 10459 10600 13250 16112 19000 20140 20918 21200 25175 26500 38000 40280 41836 50350 52295 53000 80560 83672 100700 104590 106000 125875 167344 198721 201400 209180 251750 261475 397442 402800 418360 503500 522950 554327 794884 836720 993605 1007000 1045900 1108654 1307375 1589768 1987210 2014000 2091800 2217308 2614750 2771635 3179536 3974420 4183600 4434616 4968025 5229500 5543270 7948840 8869232 9936050 10459000 10532213 11086540 13858175 15897680 19872100 20918000 21064426 22173080 24840125 27716350 39744200 42128852 44346160 49680250 52661065 55432700 69290875 79488400 84257704 99360500 105322130 110865400 138581750 168515408 198721000 210644260 221730800 263305325 277163500 397442000 421288520 526610650 554327000 842577040 1053221300 1108654000 1316526625 2106442600 2633053250 4212885200 5266106500 10532213000 21064426000