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21257308708020 = 223257111697903781
BaseRepresentation
bin1001101010101010110100…
…10101011001110010110100
32210021011211101121121211200
410311111122111121302310
510241234432012124040
6113113250043132500
74322534632505220
oct465253225316264
983234741547750
1021257308708020
1168561a0652740
122473985814130
13bb272b8a0958
14536c05a31780
1526ce40dae630
hex13555a559cb4

21257308708020 has 288 divisors, whose sum is σ = 80438738155776. Its totient is φ = 4414495334400.

The previous prime is 21257308707979. The next prime is 21257308708021. The reversal of 21257308708020 is 2080780375212.

21257308708020 is a `hidden beast` number, since 2 + 1 + 2 + 573 + 0 + 8 + 70 + 8 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×212573087080202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21257308708021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23068530 + ... + 23972310.

It is an arithmetic number, because the mean of its divisors is an integer number (279301174152).

Almost surely, 221257308708020 is an apocalyptic number.

21257308708020 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 21257308708020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219369077888).

21257308708020 is an abundant number, since it is smaller than the sum of its proper divisors (59181429447756).

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

21257308708020 is a wasteful number, since it uses less digits than its factorization.

21257308708020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905511 (or 905506 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 21257308708020 in words is "twenty-one trillion, two hundred fifty-seven billion, three hundred eight million, seven hundred eight thousand, twenty".