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21208508064 = 253286385331
BaseRepresentation
bin10011110000001000…
…000010011010100000
32000202001112211122200
4103300020002122200
5321413334224224
613424255533200
71350365226012
oct236010023240
960661484580
1021208508064
118aa3717017
12413a82a200
131cccb8a873
1410529cc1b2
15841dd75c9
hex4f02026a0

21208508064 has 72 divisors (see below), whose sum is σ = 60382288512. Its totient is φ = 7061228160.

The previous prime is 21208508039. The next prime is 21208508071. The reversal of 21208508064 is 46080580212.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205879 + ... + 291209.

It is an arithmetic number, because the mean of its divisors is an integer number (838642896).

Almost surely, 221208508064 is an apocalyptic number.

21208508064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21208508064 is an abundant number, since it is smaller than the sum of its proper divisors (39173780448).

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

21208508064 is a wasteful number, since it uses less digits than its factorization.

21208508064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86210 (or 86199 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21208508064 in words is "twenty-one billion, two hundred eight million, five hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 863 1726 2589 3452 5178 6904 7767 10356 13808 15534 20712 27616 31068 41424 62136 82848 85331 124272 170662 248544 255993 341324 511986 682648 767979 1023972 1365296 1535958 2047944 2730592 3071916 4095888 6143832 8191776 12287664 24575328 73640653 147281306 220921959 294562612 441843918 589125224 662765877 883687836 1178250448 1325531754 1767375672 2356500896 2651063508 3534751344 5302127016 7069502688 10604254032 21208508064