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1920316241520 = 243453711370879
BaseRepresentation
bin11011111100011011110…
…001000111011001110000
320210120200010210111210000
4123330123301013121300
5222430301424212040
64030103041310000
7255511140506265
oct33743361073160
96716603714700
101920316241520
11680446501736
12270206035300
1310c114ac5b21
1468d2db1526c
1534e4267a130
hex1bf1bc47670

1920316241520 has 400 divisors, whose sum is σ = 6910515912960. Its totient is φ = 493828005888.

The previous prime is 1920316241491. The next prime is 1920316241561. The reversal of 1920316241520 is 251426130291.

1920316241520 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 3 + 1 + 624 + 1 + 5 + 20 = 666.

It is a super-2 number, since 2×19203162415202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 27057441 + ... + 27128319.

Almost surely, 21920316241520 is an apocalyptic number.

1920316241520 is a gapful number since it is divisible by the number (10) 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 1920316241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455257956480).

1920316241520 is an abundant number, since it is smaller than the sum of its proper divisors (4990199671440).

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

1920316241520 is a wasteful number, since it uses less digits than its factorization.

1920316241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71054 (or 71039 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1920316241520 in words is "one trillion, nine hundred twenty billion, three hundred sixteen million, two hundred forty-one thousand, five hundred twenty".