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2031665394000 = 2435311231797477
BaseRepresentation
bin11101100100001000101…
…100011011000101010000
321012020002020212112102110
4131210020230123011100
5231241322320102000
64153200104145320
7266532363625014
oct35441054330520
97166066775373
102031665394000
11713696170aa0
12289900768240
1311977b97a3b8
1470494172544
1537cace21850
hex1d908b1b150

2031665394000 has 640 divisors, whose sum is σ = 7498885754880. Its totient is φ = 468416256000.

The previous prime is 2031665393999. The next prime is 2031665394043. The reversal of 2031665394000 is 4935661302.

It is a self number, because there is not a number n which added to its sum of digits gives 2031665394000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271718262 + ... + 271725738.

It is an arithmetic number, because the mean of its divisors is an integer number (11717008992).

Almost surely, 22031665394000 is an apocalyptic number.

2031665394000 is a gapful number since it is divisible by the number (20) 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 2031665394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749442877440).

2031665394000 is an abundant number, since it is smaller than the sum of its proper divisors (5467220360880).

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

2031665394000 is a wasteful number, since it uses less digits than its factorization.

2031665394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 2031665394000 in words is "two trillion, thirty-one billion, six hundred sixty-five million, three hundred ninety-four thousand".