Search a number
-
+
20856793736700 = 223952791131187
BaseRepresentation
bin1001011111000000110011…
…10010000010010111111100
32201211220000211001000000000
410233200121302002113330
510213204203144033300
6112205251225234300
74251565535434125
oct457403162022774
981756024030000
1020856793736700
116711353368809
12240a22a032990
13b83a30667c6c
1452168d2db04c
152627ee191c00
hex12f819c825fc

20856793736700 has 720 divisors, whose sum is σ = 69413862228480. Its totient is φ = 5438227092480.

The previous prime is 20856793736693. The next prime is 20856793736743. The reversal of 20856793736700 is 763739765802.

20856793736700 is a `hidden beast` number, since 2 + 0 + 8 + 567 + 9 + 3 + 7 + 3 + 67 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17571013507 + ... + 17571014693.

It is an arithmetic number, because the mean of its divisors is an integer number (96408141984).

Almost surely, 220856793736700 is an apocalyptic number.

20856793736700 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 20856793736700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34706931114240).

20856793736700 is an abundant number, since it is smaller than the sum of its proper divisors (48557068491780).

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

20856793736700 is a wasteful number, since it uses less digits than its factorization.

20856793736700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 20856793736700 in words is "twenty trillion, eight hundred fifty-six billion, seven hundred ninety-three million, seven hundred thirty-six thousand, seven hundred".