Search a number
-
+
1820158955496 = 23357315697583
BaseRepresentation
bin11010011111001001111…
…011011000111111101000
320110000011000012012200000
4122133021323120333220
5214310141143033441
63512100335143000
7245334143564040
oct32371173307750
96400130165600
101820158955496
11641a1a308292
12254913674a60
1310284283603b
146414bc30720
153252e7222b6
hex1a7c9ed8fe8

1820158955496 has 384 divisors, whose sum is σ = 6042348748800. Its totient is φ = 502319024640.

The previous prime is 1820158955479. The next prime is 1820158955519. The reversal of 1820158955496 is 6945598510281.

1820158955496 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 1 + 5 + 89 + 5 + 549 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 240027721 + ... + 240035303.

It is an arithmetic number, because the mean of its divisors is an integer number (15735283200).

Almost surely, 21820158955496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820158955496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021174374400).

1820158955496 is an abundant number, since it is smaller than the sum of its proper divisors (4222189793304).

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

1820158955496 is a wasteful number, since it uses less digits than its factorization.

1820158955496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211 (or 8195 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The spelling of 1820158955496 in words is "one trillion, eight hundred twenty billion, one hundred fifty-eight million, nine hundred fifty-five thousand, four hundred ninety-six".