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21364113700000 = 2555599356663
BaseRepresentation
bin1001101101110001110000…
…11010000111010010100000
32210122101111211001101011101
410312320320122013102200
510300012201101400000
6113234312140524144
74333335440116411
oct466707032072240
983571454041141
1021364113700000
116897519249a55
122490612550654
13bbc820189266
1453c058769808
15270ae2742e6a
hex136e386874a0

21364113700000 has 144 divisors (see below), whose sum is σ = 52660298275200. Its totient is φ = 8531355040000.

The previous prime is 21364113699967. The next prime is 21364113700009. The reversal of 21364113700000 is 731146312.

It is not an unprimeable number, because it can be changed into a prime (21364113700009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59721669 + ... + 60078331.

It is an arithmetic number, because the mean of its divisors is an integer number (365696515800).

Almost surely, 221364113700000 is an apocalyptic number.

21364113700000 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 21364113700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26330149137600).

21364113700000 is an abundant number, since it is smaller than the sum of its proper divisors (31296184575200).

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

21364113700000 is an frugal number, since it uses more digits than its factorization.

21364113700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357297 (or 357269 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 21364113700000 its reverse (731146312), we get a palindrome (21364844846312).

The spelling of 21364113700000 in words is "twenty-one trillion, three hundred sixty-four billion, one hundred thirteen million, seven hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 599 625 800 1000 1198 1250 2000 2396 2500 2995 3125 4000 4792 5000 5990 6250 9584 10000 11980 12500 14975 19168 20000 23960 25000 29950 47920 50000 59900 74875 95840 100000 119800 149750 239600 299500 356663 374375 479200 599000 713326 748750 1198000 1426652 1497500 1783315 1871875 2396000 2853304 2995000 3566630 3743750 5706608 5990000 7133260 7487500 8916575 11413216 11980000 14266520 14975000 17833150 28533040 29950000 35666300 44582875 57066080 59900000 71332600 89165750 142665200 178331500 213641137 222914375 285330400 356663000 427282274 445828750 713326000 854564548 891657500 1068205685 1114571875 1426652000 1709129096 1783315000 2136411370 2229143750 3418258192 3566630000 4272822740 4458287500 5341028425 6836516384 7133260000 8545645480 8916575000 10682056850 17091290960 17833150000 21364113700 26705142125 34182581920 35666300000 42728227400 53410284250 85456454800 106820568500 133525710625 170912909600 213641137000 267051421250 427282274000 534102842500 667628553125 854564548000 1068205685000 1335257106250 2136411370000 2670514212500 4272822740000 5341028425000 10682056850000 21364113700000