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2026332691152 = 24371117194194051
BaseRepresentation
bin11101011111001010110…
…101110001101011010000
321011201022121110011100120
4131133022311301223100
5231144412132104102
64150515005550240
7266253261454260
oct35371265615320
97151277404316
102026332691152
117113a9a83460
12288872875380
1311910bc10723
1470109c277a0
1537a99b9b6bc
hex1d7cad71ad0

2026332691152 has 640 divisors, whose sum is σ = 7293133209600. Its totient is φ = 468052992000.

The previous prime is 2026332691147. The next prime is 2026332691177. The reversal of 2026332691152 is 2511962336202.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 500203527 + ... + 500207577.

It is an arithmetic number, because the mean of its divisors is an integer number (11395520640).

Almost surely, 22026332691152 is an apocalyptic number.

2026332691152 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 2026332691152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646566604800).

2026332691152 is an abundant number, since it is smaller than the sum of its proper divisors (5266800518448).

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

2026332691152 is a wasteful number, since it uses less digits than its factorization.

2026332691152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 2026332691152 in words is "two trillion, twenty-six billion, three hundred thirty-two million, six hundred ninety-one thousand, one hundred fifty-two".