Search a number
-
+
20483759633400 = 2334527700125801
BaseRepresentation
bin1001010100001001111110…
…01101110111001111111000
32200112020011102120010010000
410222010333031313033320
510141101214431232100
6111322035333553000
74212621442040550
oct452047715671770
980466142503100
1020483759633400
116588128336758
122369a817a5760
13b577c192991b
1450b5c2620160
15257c69d43900
hex12a13f3773f8

20483759633400 has 480 divisors, whose sum is σ = 81321201672480. Its totient is φ = 4681152000000.

The previous prime is 20483759633387. The next prime is 20483759633411. The reversal of 20483759633400 is 433695738402.

20483759633400 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 3 + 7 + 596 + 3 + 3 + 40 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 793900500 + ... + 793926300.

It is an arithmetic number, because the mean of its divisors is an integer number (169419170151).

Almost surely, 220483759633400 is an apocalyptic number.

20483759633400 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 20483759633400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40660600836240).

20483759633400 is an abundant number, since it is smaller than the sum of its proper divisors (60837442039080).

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

20483759633400 is a wasteful number, since it uses less digits than its factorization.

20483759633400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32837 (or 32819 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 20483759633400 in words is "twenty trillion, four hundred eighty-three billion, seven hundred fifty-nine million, six hundred thirty-three thousand, four hundred".