Search a number
-
+
21379769230680 = 2334572614136061
BaseRepresentation
bin1001101110001110111011…
…00011001110010101011000
32210200212220212200201220000
410313013131203032111120
510300241231410340210
6113245421433133000
74334431416666120
oct467073543162530
983625825621800
1021379769230680
1168a31223a7963
12249366155a160
13bc1146774793
1453cb01a6dc80
1527120bd93ac0
hex1371dd8ce558

21379769230680 has 320 divisors, whose sum is σ = 82130881884480. Its totient is φ = 4886481945600.

The previous prime is 21379769230657. The next prime is 21379769230691. The reversal of 21379769230680 is 8603296797312.

21379769230680 is a `hidden beast` number, since 2 + 1 + 379 + 76 + 92 + 30 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 592859850 + ... + 592895910.

It is an arithmetic number, because the mean of its divisors is an integer number (256659005889).

Almost surely, 221379769230680 is an apocalyptic number.

21379769230680 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 21379769230680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065440942240).

21379769230680 is an abundant number, since it is smaller than the sum of its proper divisors (60751112653800).

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

21379769230680 is a wasteful number, since it uses less digits than its factorization.

21379769230680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62232 (or 62219 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 21379769230680 in words is "twenty-one trillion, three hundred seventy-nine billion, seven hundred sixty-nine million, two hundred thirty thousand, six hundred eighty".