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21304132562000 = 245336972881273
BaseRepresentation
bin1001101100000010000010…
…10000001110110001010000
32210102122200121221212012202
410312001001100032301100
510243021330413441000
6113150552224542332
74326113156631101
oct466010120166120
983378617855182
1021304132562000
116874039485222
122480a72a819a8
13bb6c81604522
145391a85c63a8
1526e2819b8dd5
hex13604140ec50

21304132562000 has 80 divisors (see below), whose sum is σ = 51527344254672. Its totient is φ = 8519345049600.

The previous prime is 21304132561991. The next prime is 21304132562099. The reversal of 21304132562000 is 26523140312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17607188072464 + 3696944489536 = 4196092^2 + 1922744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5953364 + ... + 8834636.

Almost surely, 221304132562000 is an apocalyptic number.

21304132562000 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 21304132562000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25763672127336).

21304132562000 is an abundant number, since it is smaller than the sum of its proper divisors (30223211692672).

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

21304132562000 is a wasteful number, since it uses less digits than its factorization.

21304132562000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884993 (or 2884977 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 21304132562000 in words is "twenty-one trillion, three hundred four billion, one hundred thirty-two million, five hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3697 7394 14788 18485 29576 36970 59152 73940 92425 147880 184850 295760 369700 462125 739400 924250 1478800 1848500 2881273 3697000 5762546 7394000 11525092 14406365 23050184 28812730 46100368 57625460 72031825 115250920 144063650 230501840 288127300 360159125 576254600 720318250 1152509200 1440636500 2881273000 5762546000 10652066281 21304132562 42608265124 53260331405 85216530248 106520662810 170433060496 213041325620 266301657025 426082651240 532603314050 852165302480 1065206628100 1331508285125 2130413256200 2663016570250 4260826512400 5326033140500 10652066281000 21304132562000