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21253688635212 = 223311103658126393
BaseRepresentation
bin1001101010100100000101…
…00011111010111101001100
32210020211111002210212112000
410311102002203322331030
510241210023242311322
6113111450524312300
74322346134422125
oct465220243727514
983224432725460
1021253688635212
116854703174430
1224731353a2690
13bb22a28b3237
14536980d3904c
1526cccd1853ac
hex1354828faf4c

21253688635212 has 192 divisors, whose sum is σ = 60706571627520. Its totient is φ = 6376771699200.

The previous prime is 21253688635211. The next prime is 21253688635217.

21253688635212 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 36 + 8 + 86 + 3 + 521 + 2 = 666.

21253688635212 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21253688635211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 805264288 + ... + 805290680.

It is an arithmetic number, because the mean of its divisors is an integer number (316180060560).

Almost surely, 221253688635212 is an apocalyptic number.

21253688635212 is a gapful number since it is divisible by the number (22) 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 21253688635212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30353285813760).

21253688635212 is an abundant number, since it is smaller than the sum of its proper divisors (39452882992308).

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

21253688635212 is a wasteful number, since it uses less digits than its factorization.

21253688635212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33101 (or 33093 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 21253688635212 in words is "twenty-one trillion, two hundred fifty-three billion, six hundred eighty-eight million, six hundred thirty-five thousand, two hundred twelve".