Search a number
-
+
21039822660780 = 22335711526196181
BaseRepresentation
bin1001100100010101101110…
…01001111110010010101100
32202111101110102020200222000
410302022313021332102230
510224204024100121110
6112425321110252300
74301035263554520
oct462126711762254
982441412220860
1021039822660780
116781a36426430
1224397aa057090
13b9807b980081
1452a4934abd80
152674627541c0
hex1322b727e4ac

21039822660780 has 384 divisors, whose sum is σ = 81625369835520. Its totient is φ = 4371034752000.

The previous prime is 21039822660761. The next prime is 21039822660833. The reversal of 21039822660780 is 8706622893012.

21039822660780 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 9 + 8 + 2 + 26 + 607 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218704290 + ... + 218800470.

It is an arithmetic number, because the mean of its divisors is an integer number (212566067280).

Almost surely, 221039822660780 is an apocalyptic number.

21039822660780 is a gapful number since it is divisible by the number (20) 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 21039822660780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40812684917760).

21039822660780 is an abundant number, since it is smaller than the sum of its proper divisors (60585547174740).

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

21039822660780 is a wasteful number, since it uses less digits than its factorization.

21039822660780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101478 (or 101470 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21039822660780 in words is "twenty-one trillion, thirty-nine billion, eight hundred twenty-two million, six hundred sixty thousand, seven hundred eighty".