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163764240640 = 28572111319312
BaseRepresentation
bin1001100010000100011…
…1000000000100000000
3120122201000022101101221
42120201013000010000
510140342121200030
6203122100004424
714555142035500
oct2304107000400
9518630271357
10163764240640
11634a770a940
12278a4390714
131259b093750
147cd7817a00
1543d7192e7a
hex26211c0100

163764240640 has 1296 divisors, whose sum is σ = 583089917760. Its totient is φ = 43197235200.

The previous prime is 163764240637. The next prime is 163764240667. The reversal of 163764240640 is 46042467361.

It is a happy number.

163764240640 is digitally balanced in base 3, because in such base 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 143 ways as a sum of consecutive naturals, for example, 5282717425 + ... + 5282717455.

It is an arithmetic number, because the mean of its divisors is an integer number (449915060).

Almost surely, 2163764240640 is an apocalyptic number.

163764240640 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 163764240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291544958880).

163764240640 is an abundant number, since it is smaller than the sum of its proper divisors (419325677120).

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

163764240640 is a wasteful number, since it uses less digits than its factorization.

163764240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

It can be divided in two parts, 163764 and 240640, that added together give a palindrome (404404).

The spelling of 163764240640 in words is "one hundred sixty-three billion, seven hundred sixty-four million, two hundred forty thousand, six hundred forty".