Search a number
-
+
21831373789632 = 2633111450379193
BaseRepresentation
bin1001111011011000000110…
…10001111001100111000000
32212022001120222100022121000
410331230003101321213000
510330141123142232012
6114233110014132000
74412156536261251
oct475540321714700
985261528308530
1021831373789632
116a576a73a8190
122547096ab1000
13c248c73c36b4
145569036c2b28
1527cd3de31ddc
hex13db034799c0

21831373789632 has 224 divisors, whose sum is σ = 70020471144960. Its totient is φ = 6615028131840.

The previous prime is 21831373789627. The next prime is 21831373789633. The reversal of 21831373789632 is 23698737313812.

21831373789632 is a `hidden beast` number, since 2 + 1 + 83 + 1 + 373 + 78 + 96 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21831373789632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21831373789633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275633428 + ... + 275712620.

It is an arithmetic number, because the mean of its divisors is an integer number (312591389040).

Almost surely, 221831373789632 is an apocalyptic number.

21831373789632 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 21831373789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35010235572480).

21831373789632 is an abundant number, since it is smaller than the sum of its proper divisors (48189097355328).

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

21831373789632 is a wasteful number, since it uses less digits than its factorization.

21831373789632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93728 (or 93712 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 21831373789632 in words is "twenty-one trillion, eight hundred thirty-one billion, three hundred seventy-three million, seven hundred eighty-nine thousand, six hundred thirty-two".