Search a number
-
+
147923381760 = 2935711416101
BaseRepresentation
bin1000100111000011101…
…0111010111000000000
3112010211000221101011220
42021300322322320000
54410421341204020
6151542143235040
713454451666450
oct2116072727000
9463730841156
10147923381760
1157808990130
12248032a8a80
1310c4528a07b
147233a6dd60
153cab635240
hex2270ebae00

147923381760 has 640 divisors, whose sum is σ = 604059337728. Its totient is φ = 29982720000.

The previous prime is 147923381729. The next prime is 147923381779. The reversal of 147923381760 is 67183329741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24242710 + ... + 24248810.

Almost surely, 2147923381760 is an apocalyptic number.

147923381760 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 147923381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302029668864).

147923381760 is an abundant number, since it is smaller than the sum of its proper divisors (456135955968).

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

147923381760 is a wasteful number, since it uses less digits than its factorization.

147923381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 147923381760 in words is "one hundred forty-seven billion, nine hundred twenty-three million, three hundred eighty-one thousand, seven hundred sixty".