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1960241378460 = 22351722317328411
BaseRepresentation
bin11100100001100111011…
…111011011010010011100
320221101201120222121110120
4130201213133123102130
5224104033243102320
64100304503434540
7261423415540401
oct34414737332234
96841646877416
101960241378460
11696374177a82
12277aa8a55a50
13112b084c6201
146ac3a3962a8
1535ecc7c5440
hex1c8677db49c

1960241378460 has 288 divisors, whose sum is σ = 6119415654912. Its totient is φ = 467854970880.

The previous prime is 1960241378453. The next prime is 1960241378461. The reversal of 1960241378460 is 648731420691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960241378461) 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 95 ways as a sum of consecutive naturals, for example, 68981655 + ... + 69010065.

It is an arithmetic number, because the mean of its divisors is an integer number (21247971024).

Almost surely, 21960241378460 is an apocalyptic number.

1960241378460 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 1960241378460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059707827456).

1960241378460 is an abundant number, since it is smaller than the sum of its proper divisors (4159174276452).

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

1960241378460 is a wasteful number, since it uses less digits than its factorization.

1960241378460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653 (or 28634 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1960241378460 in words is "one trillion, nine hundred sixty billion, two hundred forty-one million, three hundred seventy-eight thousand, four hundred sixty".