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21166851024 = 243211103129737
BaseRepresentation
bin10011101101101001…
…001000001111010000
32000122011011102221100
4103231221020033100
5321322203213044
613420211024400
71346351156634
oct235551101720
960564142840
1021166851024
118a82154510
12412889b100
131cc4363a27
14104b266dc4
1583d409869
hex4eda483d0

21166851024 has 120 divisors (see below), whose sum is σ = 65250948672. Its totient is φ = 6351874560.

The previous prime is 21166850993. The next prime is 21166851049. The reversal of 21166851024 is 42015866112.

It is a happy number.

21166851024 is a `hidden beast` number, since 2 + 116 + 6 + 8 + 510 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21166851024.

It is a congruent number.

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, 98284 + ... + 228020.

Almost surely, 221166851024 is an apocalyptic number.

21166851024 is a gapful number since it is divisible by the number (24) 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 21166851024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32625474336).

21166851024 is an abundant number, since it is smaller than the sum of its proper divisors (44084097648).

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

21166851024 is a wasteful number, since it uses less digits than its factorization.

21166851024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129865 (or 129856 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21166851024 in words is "twenty-one billion, one hundred sixty-six million, eight hundred fifty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 528 618 792 824 927 1133 1236 1584 1648 1854 2266 2472 3399 3708 4532 4944 6798 7416 9064 10197 13596 14832 18128 20394 27192 40788 54384 81576 129737 163152 259474 389211 518948 778422 1037896 1167633 1427107 1556844 2075792 2335266 2854214 3113688 4281321 4670532 5708428 6227376 8562642 9341064 11416856 12843963 13362911 17125284 18682128 22833712 25687926 26725822 34250568 40088733 51375852 53451644 68501136 80177466 102751704 106903288 120266199 146992021 160354932 205503408 213806576 240532398 293984042 320709864 440976063 481064796 587968084 641419728 881952126 962129592 1175936168 1322928189 1763904252 1924259184 2351872336 2645856378 3527808504 5291712756 7055617008 10583425512 21166851024