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6692134280832 = 273371113171953113
BaseRepresentation
bin110000101100010001001…
…0010010101111010000000
3212200202120100022000102000
41201120202102111322000
51334120442333441312
622122153554424000
71260330216554640
oct141304222257200
925622510260360
106692134280832
1121501333798a0
12900b92292000
133970b1040a30
14191c885c2520
15b912771badc
hex61622495e80

6692134280832 has 4096 divisors, whose sum is σ = 30380894208000. Its totient is φ = 1391229665280.

The previous prime is 6692134280807. The next prime is 6692134280833. The reversal of 6692134280832 is 2380824312966.

6692134280832 is a `hidden beast` number, since 66 + 92 + 1 + 342 + 80 + 83 + 2 = 666.

It is a super-2 number, since 2×66921342808322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6692134280833) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 59222427208 + ... + 59222427320.

It is an arithmetic number, because the mean of its divisors is an integer number (7417210500).

Almost surely, 26692134280832 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 6692134280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190447104000).

6692134280832 is an abundant number, since it is smaller than the sum of its proper divisors (23688759927168).

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

6692134280832 is a wasteful number, since it uses less digits than its factorization.

6692134280832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6692134280832 in words is "six trillion, six hundred ninety-two billion, one hundred thirty-four million, two hundred eighty thousand, eight hundred thirty-two".