Search a number
-
+
18020615782400 = 21652711831721
BaseRepresentation
bin1000001100011110000000…
…11001110000000000000000
32100210202100200211220120222
410012033000121300000000
54330222210120014100
6102154320120522212
73536642441541440
oct406170031600000
970722320756528
1018020615782400
1158185558a3750
122030623920368
13a0944bb8a69a
144642b9788120
15213b56c0d485
hex1063c0670000

18020615782400 has 816 divisors, whose sum is σ = 56422454231808. Its totient is φ = 5545918464000.

The previous prime is 18020615782357. The next prime is 18020615782417. The reversal of 18020615782400 is 428751602081.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10471013540 + ... + 10471015260.

Almost surely, 218020615782400 is an apocalyptic number.

18020615782400 is a gapful number since it is divisible by the number (10) 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 18020615782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28211227115904).

18020615782400 is an abundant number, since it is smaller than the sum of its proper divisors (38401838449408).

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

18020615782400 is an equidigital number, since it uses as much as digits as its factorization.

18020615782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 18020615782400 in words is "eighteen trillion, twenty billion, six hundred fifteen million, seven hundred eighty-two thousand, four hundred".