Search a number
-
+
20704187158200 = 23335272136019009
BaseRepresentation
bin1001011010100100100011…
…01110001000111010111000
32201022022010101211120122000
410231102101232020322320
510203204133403030300
6112011212224501000
74234554026062500
oct455222156107270
981268111746560
1020704187158200
116662661991657
1223a473a47a760
13b72520081480
145181336b4a00
1525d86b832c00
hex12d491b88eb8

20704187158200 has 576 divisors, whose sum is σ = 89338961628000. Its totient is φ = 4368355246080.

The previous prime is 20704187158157. The next prime is 20704187158201. The reversal of 20704187158200 is 285178140702.

20704187158200 is a `hidden beast` number, since 20 + 7 + 0 + 41 + 8 + 7 + 1 + 582 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20704187158201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 430296 + ... + 6449304.

Almost surely, 220704187158200 is an apocalyptic number.

20704187158200 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 20704187158200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44669480814000).

20704187158200 is an abundant number, since it is smaller than the sum of its proper divisors (68634774469800).

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

20704187158200 is a wasteful number, since it uses less digits than its factorization.

20704187158200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019061 (or 6019039 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 20704187158200 in words is "twenty trillion, seven hundred four billion, one hundred eighty-seven million, one hundred fifty-eight thousand, two hundred".