Search a number
-
+
8069491404000 = 253353138369247
BaseRepresentation
bin111010101101101001100…
…1010110010110011100000
31001120102202201201111012000
41311123103022302303200
52024202304244412000
625055023450004000
71462000343130555
oct165332312626340
931512681644160
108069491404000
112631285587634
12aa3b08416600
13466c46866c20
141dc7cb902a2c
15ded8cab1000
hex756d32b2ce0

8069491404000 has 768 divisors, whose sum is σ = 32013981941760. Its totient is φ = 1962376243200.

The previous prime is 8069491403993. The next prime is 8069491404011. The reversal of 8069491404000 is 4041949608.

8069491404000 is a `hidden beast` number, since 8 + 0 + 69 + 49 + 140 + 400 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116497377 + ... + 116566623.

It is an arithmetic number, because the mean of its divisors is an integer number (41684872320).

Almost surely, 28069491404000 is an apocalyptic number.

8069491404000 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 8069491404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16006990970880).

8069491404000 is an abundant number, since it is smaller than the sum of its proper divisors (23944490537760).

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

8069491404000 is a wasteful number, since it uses less digits than its factorization.

8069491404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69377 (or 69353 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 8069491404000 in words is "eight trillion, sixty-nine billion, four hundred ninety-one million, four hundred four thousand".