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2079231148368 = 24321131339112487
BaseRepresentation
bin11110010000011011110…
…101011000000101010000
321100202212012020012210200
4132100123311120011100
5233031231133221433
64231104031255200
7303135200103513
oct36203365300520
97322765205720
102079231148368
117318848612a0
12296b7637a500
131210bc300b9a
14728c748ad7a
1539143c28613
hex1e41bd58150

2079231148368 has 240 divisors, whose sum is σ = 6555185774592. Its totient is φ = 609516576000.

The previous prime is 2079231148361. The next prime is 2079231148373. The reversal of 2079231148368 is 8638411329702.

It is a happy number.

2079231148368 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 231 + 1 + 48 + 368 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079231148361) 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, 166505421 + ... + 166517907.

Almost surely, 22079231148368 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 2079231148368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277592887296).

2079231148368 is an abundant number, since it is smaller than the sum of its proper divisors (4475954626224).

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

2079231148368 is a wasteful number, since it uses less digits than its factorization.

2079231148368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15934 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2079231148368 in words is "two trillion, seventy-nine billion, two hundred thirty-one million, one hundred forty-eight thousand, three hundred sixty-eight".