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6472793894112 = 25327131921275387
BaseRepresentation
bin101111000110001000010…
…0101001010110011100000
3211220210102010122212222100
41132030100211022303200
51322022240214102422
621433321021010400
71235433603206550
oct136142045126340
924823363585870
106472793894112
112076107453917
128865796b3a00
1337c4c6bb5760
141853dba7d160
15b358b3c27ac
hex5e31094ace0

6472793894112 has 864 divisors, whose sum is σ = 24102631268352. Its totient is φ = 1604230354944.

The previous prime is 6472793894107. The next prime is 6472793894113. The reversal of 6472793894112 is 2114983972746.

6472793894112 is a `hidden beast` number, since 6 + 4 + 72 + 79 + 3 + 89 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6472793894112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6472793894113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1201555483 + ... + 1201560869.

It is an arithmetic number, because the mean of its divisors is an integer number (27896563968).

Almost surely, 26472793894112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6472793894112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051315634176).

6472793894112 is an abundant number, since it is smaller than the sum of its proper divisors (17629837374240).

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

6472793894112 is a wasteful number, since it uses less digits than its factorization.

6472793894112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5558 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 6472793894112 in words is "six trillion, four hundred seventy-two billion, seven hundred ninety-three million, eight hundred ninety-four thousand, one hundred twelve".