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21147557832 = 2332137215649
BaseRepresentation
bin10011101100011111…
…100001111111001000
32000120210212020122200
4103230133201333020
5321302233322312
613414241320200
71346025163362
oct235437417710
960523766580
1021147557832
118a72277225
124122336060
131cc036a23b
141048883d32
1583b8980dc
hex4ec7e1fc8

21147557832 has 72 divisors (see below), whose sum is σ = 57699437250. Its totient is φ = 6997284864.

The previous prime is 21147557831. The next prime is 21147557843. The reversal of 21147557832 is 23875574112.

21147557832 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 75 + 578 + 3 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16518932676 + 4628625156 = 128526^2 + 68034^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (21147557831) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1343544 + ... + 1359192.

Almost surely, 221147557832 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 21147557832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28849718625).

21147557832 is an abundant number, since it is smaller than the sum of its proper divisors (36551879418).

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

21147557832 is a wasteful number, since it uses less digits than its factorization.

21147557832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15935 (or 15791 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 21147557832 in words is "twenty-one billion, one hundred forty-seven million, five hundred fifty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 15649 18769 31298 37538 46947 56307 62596 75076 93894 112614 125192 140841 150152 168921 187788 225228 281682 337842 375576 450456 563364 675684 1126728 1351368 2143913 4287826 6431739 8575652 12863478 17151304 19295217 25726956 38590434 51453912 77180868 154361736 293716081 587432162 881148243 1174864324 1762296486 2349728648 2643444729 3524592972 5286889458 7049185944 10573778916 21147557832