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80752242672000 = 2732532377235919
BaseRepresentation
bin10010010111000110011000…
…101111010100000110000000
3101120220211122122011010121200
4102113012120233110012000
541041021043111001000
6443425022415421200
723003104565253054
oct2227063057240600
9346824578133550
1080752242672000
1123803919866519
1290823aa824800
133609b99891313
1415d26023b3c64
159508401d1500
hex497198bd4180

80752242672000 has 384 divisors, whose sum is σ = 290124724406400. Its totient is φ = 21524780851200.

The previous prime is 80752242671987. The next prime is 80752242672029. The reversal of 80752242672000 is 27624225708.

80752242672000 is a `hidden beast` number, since 8 + 0 + 7 + 522 + 42 + 67 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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, 342170041 + ... + 342405959.

It is an arithmetic number, because the mean of its divisors is an integer number (755533136475).

Almost surely, 280752242672000 is an apocalyptic number.

80752242672000 is a gapful number since it is divisible by the number (80) 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 80752242672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145062362203200).

80752242672000 is an abundant number, since it is smaller than the sum of its proper divisors (209372481734400).

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

80752242672000 is a wasteful number, since it uses less digits than its factorization.

80752242672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238331 (or 238306 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

Adding to 80752242672000 its reverse (27624225708), we get a palindrome (80779866897708).

The spelling of 80752242672000 in words is "eighty trillion, seven hundred fifty-two billion, two hundred forty-two million, six hundred seventy-two thousand".