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21162404484 = 223213145331121
BaseRepresentation
bin10011101101011000…
…001010101010000100
32000121211210112102200
4103231120022222010
5321320033420414
613415531434500
71346265320154
oct235530125204
960554715380
1021162404484
118a7a697791
1241272b5a30
131cc3467b40
14104a82a764
1583cd2c109
hex4ed60aa84

21162404484 has 72 divisors (see below), whose sum is σ = 57650268312. Its totient is φ = 6506818560.

The previous prime is 21162404477. The next prime is 21162404519. The reversal of 21162404484 is 48440426112.

21162404484 is a `hidden beast` number, since 21 + 1 + 624 + 0 + 4 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5346826884 + 15815577600 = 73122^2 + 125760^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664444 + ... + 695564.

It is an arithmetic number, because the mean of its divisors is an integer number (800698171).

Almost surely, 221162404484 is an apocalyptic number.

It is an amenable number.

21162404484 is an abundant number, since it is smaller than the sum of its proper divisors (36487863828).

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

21162404484 is a wasteful number, since it uses less digits than its factorization.

21162404484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32597 (or 32592 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 21162404484 in words is "twenty-one billion, one hundred sixty-two million, four hundred four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1453 2906 4359 5812 8718 13077 17436 18889 26154 31121 37778 52308 56667 62242 75556 93363 113334 124484 170001 186726 226668 280089 340002 373452 404573 560178 680004 809146 1120356 1213719 1618292 2427438 3641157 4854876 7282314 14564628 45218813 90437626 135656439 180875252 271312878 406969317 542625756 587844569 813938634 1175689138 1627877268 1763533707 2351378276 3527067414 5290601121 7054134828 10581202242 21162404484