Search a number
-
+
132153623520324 = 223743347197953279
BaseRepresentation
bin11110000011000101101001…
…110010010010010001000100
3122022220202121020121120000220
4132003011221302102101010
5114310201110110122244
61145022311520104340
736556532662453140
oct3603055162222104
9568822536546026
10132153623520324
113912104526a65a
12129a43111650b0
135898057cc2673
14248c3ab752220
151042944311319
hex783169c92444

132153623520324 has 192 divisors, whose sum is σ = 361833976627200. Its totient is φ = 36754526454912.

The previous prime is 132153623520257. The next prime is 132153623520353. The reversal of 132153623520324 is 423025326351231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2480380717 + ... + 2480433995.

It is an arithmetic number, because the mean of its divisors is an integer number (1884551961600).

Almost surely, 2132153623520324 is an apocalyptic number.

132153623520324 is a gapful number since it is divisible by the number (14) 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 132153623520324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180916988313600).

132153623520324 is an abundant number, since it is smaller than the sum of its proper divisors (229680353106876).

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

132153623520324 is a wasteful number, since it uses less digits than its factorization.

132153623520324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55662 (or 55660 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 132153623520324 its reverse (423025326351231), we get a palindrome (555178949871555).

The spelling of 132153623520324 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, six hundred twenty-three million, five hundred twenty thousand, three hundred twenty-four".