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2033974812672 = 213321117151977
BaseRepresentation
bin11101100110010010010…
…110001010000000000000
321012110001012110011021100
4131212102112022000000
5231311040023001142
64154221203054400
7266643535435035
oct35462226120000
97173035404240
102033974812672
11714670835470
1228a246071400
13119a5926c61a
1470632b7338c
1537d95a53b4c
hex1d99258a000

2033974812672 has 672 divisors, whose sum is σ = 6838690944384. Its totient is φ = 575668224000.

The previous prime is 2033974812637. The next prime is 2033974812679. The reversal of 2033974812672 is 2762184793302.

It is a happy number.

2033974812672 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 97 + 481 + 2 + 6 + 72 = 666.

It is a super-4 number, since 4×20339748126724 (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2033974812679) 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, 2081857048 + ... + 2081858024.

Almost surely, 22033974812672 is an apocalyptic number.

2033974812672 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 2033974812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419345472192).

2033974812672 is an abundant number, since it is smaller than the sum of its proper divisors (4804716131712).

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

2033974812672 is a wasteful number, since it uses less digits than its factorization.

2033974812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2033974812672 in words is "two trillion, thirty-three billion, nine hundred seventy-four million, eight hundred twelve thousand, six hundred seventy-two".