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80074862208 = 27321119834007
BaseRepresentation
bin100101010010011010…
…1010110111010000000
321122200112222110122100
41022210311112322000
52302443131042313
6100441430110400
75533221045525
oct1124465267200
9248615873570
1080074862208
1130a61199180
1213628aab400
1377217b6793
143c38aa514c
152139d5a173
hex12a4d56e80

80074862208 has 384 divisors, whose sum is σ = 267856243200. Its totient is φ = 22705367040.

The previous prime is 80074862207. The next prime is 80074862209. The reversal of 80074862208 is 80226847008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80074862207) and next prime (80074862209).

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

It is not an unprimeable number, because it can be changed into a prime (80074862207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19981741 + ... + 19985747.

It is an arithmetic number, because the mean of its divisors is an integer number (697542300).

Almost surely, 280074862208 is an apocalyptic number.

80074862208 is a gapful number since it is divisible by the number (88) 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 80074862208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133928121600).

80074862208 is an abundant number, since it is smaller than the sum of its proper divisors (187781380992).

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

80074862208 is a wasteful number, since it uses less digits than its factorization.

80074862208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 80074862208 in words is "eighty billion, seventy-four million, eight hundred sixty-two thousand, two hundred eight".