Search a number
-
+
80014306619520 = 2734571316961383
BaseRepresentation
bin10010001100010111001000…
…010100101011000010000000
3101111022021220121021121010000
4102030113020110223002000
540441423244443311040
6442102022013040000
722565562052305330
oct2214271024530200
9344267817247100
1080014306619520
1123549971133139
128b83385486000
133585416b48b60
1415a89daa850c0
1593b550937130
hex48c5c852b080

80014306619520 has 640 divisors, whose sum is σ = 351686834231040. Its totient is φ = 16882138423296.

The previous prime is 80014306619509. The next prime is 80014306619521. The reversal of 80014306619520 is 2591660341008.

80014306619520 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 4 + 3 + 0 + 6 + 619 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (80014306619521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3763252 + ... + 13198131.

It is an arithmetic number, because the mean of its divisors is an integer number (549510678486).

Almost surely, 280014306619520 is an apocalyptic number.

80014306619520 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 80014306619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175843417115520).

80014306619520 is an abundant number, since it is smaller than the sum of its proper divisors (271672527611520).

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

80014306619520 is a wasteful number, since it uses less digits than its factorization.

80014306619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16961434 (or 16961413 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 80014306619520 in words is "eighty trillion, fourteen billion, three hundred six million, six hundred nineteen thousand, five hundred twenty".