Search a number
-
+
20999470302720 = 2933571361229239
BaseRepresentation
bin1001100011001010100011…
…11101111100011000000000
32202100112022012011112002000
410301211101331330120000
510223023403344141340
6112355005023224000
74265106310305660
oct461452175743000
982315265145060
1020999470302720
116766909592588
122431a08148000
13b9431a8ca220
145285461bc1a0
1526639ed69d30
hex131951f7c600

20999470302720 has 2560 divisors, whose sum is σ = 94109976576000. Its totient is φ = 4320838287360.

The previous prime is 20999470302667. The next prime is 20999470302743. The reversal of 20999470302720 is 2720307499902.

20999470302720 is a `hidden beast` number, since 209 + 99 + 47 + 0 + 302 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87863892361 + ... + 87863892599.

It is an arithmetic number, because the mean of its divisors is an integer number (36761709600).

Almost surely, 220999470302720 is an apocalyptic number.

20999470302720 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 20999470302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47054988288000).

20999470302720 is an abundant number, since it is smaller than the sum of its proper divisors (73110506273280).

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

20999470302720 is a wasteful number, since it uses less digits than its factorization.

20999470302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 20999470302720 in words is "twenty trillion, nine hundred ninety-nine billion, four hundred seventy million, three hundred two thousand, seven hundred twenty".