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2317670073312 = 25311311272512221
BaseRepresentation
bin100001101110011111111…
…001101100001111100000
322012120022102010121101220
4201232133321230033200
5300433042014321222
64532420053055040
7326306011401216
oct41563771541740
98176272117356
102317670073312
11813a11375760
1231521b027480
1313a72b147c59
1480266698cb6
154044bac3b5c
hex21b9fe6c3e0

2317670073312 has 384 divisors, whose sum is σ = 6935636606976. Its totient is φ = 671328000000.

The previous prime is 2317670073289. The next prime is 2317670073347. The reversal of 2317670073312 is 2133700767132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1043524362 + ... + 1043526582.

It is an arithmetic number, because the mean of its divisors is an integer number (18061553664).

Almost surely, 22317670073312 is an apocalyptic number.

2317670073312 is a gapful number since it is divisible by the number (22) 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 2317670073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467818303488).

2317670073312 is an abundant number, since it is smaller than the sum of its proper divisors (4617966533664).

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

2317670073312 is a wasteful number, since it uses less digits than its factorization.

2317670073312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 42.

The spelling of 2317670073312 in words is "two trillion, three hundred seventeen billion, six hundred seventy million, seventy-three thousand, three hundred twelve".