Search a number
-
+
20804621075730 = 23254379241373757
BaseRepresentation
bin1001011101011111101000…
…00011001000010100010010
32201122220100210222012211100
410232233310003020110102
510211330330443410410
6112125302212125230
74245040622225622
oct456576403102422
981586323865740
1020804621075730
1166a1210249388
1224000a9606816
13b7bb3774963b
1451cd40208882
15261298bd08c0
hex12ebf40c8512

20804621075730 has 384 divisors, whose sum is σ = 56508619115520. Its totient is φ = 5306780344320.

The previous prime is 20804621075713. The next prime is 20804621075813. The reversal of 20804621075730 is 3757012640802.

20804621075730 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 4 + 62 + 10 + 7 + 573 + 0 = 666.

It is a super-3 number, since 3×208046210757303 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27482986512 + ... + 27482987268.

It is an arithmetic number, because the mean of its divisors is an integer number (147157862280).

Almost surely, 220804621075730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20804621075730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254309557760).

20804621075730 is an abundant number, since it is smaller than the sum of its proper divisors (35703998039790).

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

20804621075730 is a wasteful number, since it uses less digits than its factorization.

20804621075730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20804621075730 in words is "twenty trillion, eight hundred four billion, six hundred twenty-one million, seventy-five thousand, seven hundred thirty".