Search a number
-
+
20980497842640 = 243257217194347911
BaseRepresentation
bin1001100010100111001110…
…00111110000000111010000
32202021201022222010200121100
410301103213013300013100
510222221024421431030
6112342150241424400
74263535203124200
oct461234707600720
982251288120540
1020980497842640
116759863087506
12242a1b233b100
13b925b6082a9b
14527666572400
15265b3e420360
hex1314e71f01d0

20980497842640 has 2880 divisors, whose sum is σ = 95570180259840. Its totient is φ = 4083114147840.

The previous prime is 20980497842627. The next prime is 20980497842663. The reversal of 20980497842640 is 4624879408902.

20980497842640 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 0 + 497 + 84 + 2 + 64 + 0 = 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 575 ways as a sum of consecutive naturals, for example, 23030183785 + ... + 23030184695.

It is an arithmetic number, because the mean of its divisors is an integer number (33184090368).

Almost surely, 220980497842640 is an apocalyptic number.

20980497842640 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 20980497842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47785090129920).

20980497842640 is an abundant number, since it is smaller than the sum of its proper divisors (74589682417200).

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

20980497842640 is a wasteful number, since it uses less digits than its factorization.

20980497842640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 20980497842640 in words is "twenty trillion, nine hundred eighty billion, four hundred ninety-seven million, eight hundred forty-two thousand, six hundred forty".