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2048641921494 = 2347219314110687
BaseRepresentation
bin11101110011111100100…
…100101111000111010110
321020211220101012111010000
4131303330210233013112
5232031104312441434
64205044430112130
7301003154005200
oct35637444570726
97224811174100
102048641921494
1171a907a58403
1229105a04b646
1311b255b4293c
1471224aa1770
153845350db99
hex1dcfc92f1d6

2048641921494 has 480 divisors, whose sum is σ = 5944388567040. Its totient is φ = 523494316800.

The previous prime is 2048641921441. The next prime is 2048641921507. The reversal of 2048641921494 is 4941291468402.

2048641921494 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 6 + 419 + 214 + 9 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2048641921494.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 191689419 + ... + 191700105.

It is an arithmetic number, because the mean of its divisors is an integer number (12384142848).

Almost surely, 22048641921494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048641921494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972194283520).

2048641921494 is an abundant number, since it is smaller than the sum of its proper divisors (3895746645546).

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

2048641921494 is a wasteful number, since it uses less digits than its factorization.

2048641921494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2048641921494 in words is "two trillion, forty-eight billion, six hundred forty-one million, nine hundred twenty-one thousand, four hundred ninety-four".