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20409829267932 = 223313412851124363
BaseRepresentation
bin1001010010000000010001…
…00111111001100111011100
32200021011100002112102102000
410221000020213321213130
510133343312243033212
6111224051321402300
74204363411226466
oct451001047714734
980234302472360
1020409829267932
11655983a5a1965
12235768a639390
13b5083c131c40
14507baba1d136
15255d8e6651dc
hex1290089f99dc

20409829267932 has 192 divisors, whose sum is σ = 58395524113920. Its totient is φ = 6124579776000.

The previous prime is 20409829267913. The next prime is 20409829267963. The reversal of 20409829267932 is 23976292890402.

20409829267932 is a `hidden beast` number, since 2 + 0 + 409 + 82 + 9 + 2 + 67 + 93 + 2 = 666.

It is a super-2 number, since 2×204098292679322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20409829267932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164052783 + ... + 164177145.

It is an arithmetic number, because the mean of its divisors is an integer number (304143354760).

Almost surely, 220409829267932 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 20409829267932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29197762056960).

20409829267932 is an abundant number, since it is smaller than the sum of its proper divisors (37985694845988).

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

20409829267932 is a wasteful number, since it uses less digits than its factorization.

20409829267932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127281 (or 127273 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 20409829267932 in words is "twenty trillion, four hundred nine billion, eight hundred twenty-nine million, two hundred sixty-seven thousand, nine hundred thirty-two".