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1001662927398 = 2327197931316921
BaseRepresentation
bin11101001001101111100…
…00110101001000100110
310112202110121111220000200
432210313300311020212
5112402401202134043
62044054012451330
7132240066254610
oct16446760651046
93482417456020
101001662927398
11356891677961
12142166a79b46
13735c1964b53
14366a323bdb0
151b0c77457d3
hexe937c35226

1001662927398 has 192 divisors, whose sum is σ = 2652503193600. Its totient is φ = 266823797760.

The previous prime is 1001662927381. The next prime is 1001662927439. The reversal of 1001662927398 is 8937292661001.

1001662927398 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 629 + 2 + 7 + 3 + 9 + 8 = 666.

1001662927398 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59187978 + ... + 59204898.

It is an arithmetic number, because the mean of its divisors is an integer number (13815120800).

Almost surely, 21001662927398 is an apocalyptic number.

1001662927398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001662927398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326251596800).

1001662927398 is an abundant number, since it is smaller than the sum of its proper divisors (1650840266202).

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

1001662927398 is a wasteful number, since it uses less digits than its factorization.

1001662927398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17347 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1001662927398 in words is "one trillion, one billion, six hundred sixty-two million, nine hundred twenty-seven thousand, three hundred ninety-eight".