Search a number
-
+
20718582984 = 2332111929197241
BaseRepresentation
bin10011010010111011…
…000111110011001000
31222110220200001210100
4103102323013303020
5314412424123414
613303515045400
71332266023011
oct232273076310
958426601710
1020718582984
118872111060
124022740860
131c52522478
1410078da008
15813dae609
hex4d2ec7cc8

20718582984 has 384 divisors, whose sum is σ = 67274064000. Its totient is φ = 5689958400.

The previous prime is 20718582979. The next prime is 20718583001. The reversal of 20718582984 is 48928581702.

It is a self number, because there is not a number n which added to its sum of digits gives 20718582984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85969104 + ... + 85969344.

It is an arithmetic number, because the mean of its divisors is an integer number (175192875).

Almost surely, 220718582984 is an apocalyptic number.

20718582984 is a gapful number since it is divisible by the number (24) 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 20718582984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33637032000).

20718582984 is an abundant number, since it is smaller than the sum of its proper divisors (46555481016).

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

20718582984 is a wasteful number, since it uses less digits than its factorization.

20718582984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 20718582984 in words is "twenty billion, seven hundred eighteen million, five hundred eighty-two thousand, nine hundred eighty-four".