Search a number
-
+
2073288139200 = 263352471021123
BaseRepresentation
bin11110001010111001100…
…110100110000111000000
321100012112000102001212000
4132022321212212013000
5232432043230423300
64224242212104000
7302535004260255
oct36127146460700
97305460361760
102073288139200
1172a305116573
12295998005000
13120682c9a505
14724c207542c
1538de70ebc00
hex1e2b99a61c0

2073288139200 has 336 divisors, whose sum is σ = 7718717160960. Its totient is φ = 541112970240.

The previous prime is 2073288139189. The next prime is 2073288139207. The reversal of 2073288139200 is 29318823702.

2073288139200 is a `hidden beast` number, since 207 + 32 + 88 + 139 + 200 = 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 (2073288139207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519839 + ... + 2540961.

Almost surely, 22073288139200 is an apocalyptic number.

2073288139200 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 2073288139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859358580480).

2073288139200 is an abundant number, since it is smaller than the sum of its proper divisors (5645429021760).

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

2073288139200 is a wasteful number, since it uses less digits than its factorization.

2073288139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021201 (or 1021180 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2073288139200 in words is "two trillion, seventy-three billion, two hundred eighty-eight million, one hundred thirty-nine thousand, two hundred".