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1920900998016 = 2734721113137193
BaseRepresentation
bin11011111100111110100…
…111110010001110000000
320210122011220010012220000
4123330332213302032000
5222433001123414031
64030241050520000
7255531501036600
oct33747647621600
96718156105800
101920900998016
11680716598970
12270349a36000
1310c1a8cb52a0
1468d87650c00
1534e78b863e6
hex1bf3e9f2380

1920900998016 has 1920 divisors, whose sum is σ = 7910255374560. Its totient is φ = 454825082880.

The previous prime is 1920900997999. The next prime is 1920900998017. The reversal of 1920900998016 is 6108990090291.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920900998017) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 9952854816 + ... + 9952855008.

Almost surely, 21920900998016 is an apocalyptic number.

1920900998016 is a gapful number since it is divisible by the number (16) 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 1920900998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955127687280).

1920900998016 is an abundant number, since it is smaller than the sum of its proper divisors (5989354376544).

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

1920900998016 is a wasteful number, since it uses less digits than its factorization.

1920900998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 1920900998016 in words is "one trillion, nine hundred twenty billion, nine hundred million, nine hundred ninety-eight thousand, sixteen".