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21263836212 = 22323789179369
BaseRepresentation
bin10011110011011011…
…000110010000110100
32000212220122210121100
4103303123012100310
5322022020224322
613433553450100
71351636424403
oct236333062064
960786583540
1021263836212
119021976963
124155270930
13200b490208
14105a0b163a
15846bb5dac
hex4f36c6434

21263836212 has 72 divisors (see below), whose sum is σ = 55823531400. Its totient is φ = 6818853888.

The previous prime is 21263836193. The next prime is 21263836241.

21263836212 is a `hidden beast` number, since 2 + 1 + 2 + 638 + 3 + 6 + 2 + 12 = 666.

21263836212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3069603216 + 18194232996 = 55404^2 + 134886^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28864 + ... + 208232.

It is an arithmetic number, because the mean of its divisors is an integer number (775326825).

Almost surely, 221263836212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21263836212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27911765700).

21263836212 is an abundant number, since it is smaller than the sum of its proper divisors (34559695188).

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

21263836212 is a wasteful number, since it uses less digits than its factorization.

21263836212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179505 (or 179500 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 21263836212 in words is "twenty-one billion, two hundred sixty-three million, eight hundred thirty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 89 111 148 178 222 267 333 356 444 534 666 801 1068 1332 1602 3204 3293 6586 9879 13172 19758 29637 39516 59274 118548 179369 358738 538107 717476 1076214 1614321 2152428 3228642 6457284 6636653 13273306 15963841 19909959 26546612 31927682 39819918 47891523 59729877 63855364 79639836 95783046 119459754 143674569 191566092 238919508 287349138 574698276 590662117 1181324234 1771986351 2362648468 3543972702 5315959053 7087945404 10631918106 21263836212