Search a number
-
+
145245536500 = 22531741166853
BaseRepresentation
bin1000011101000101001…
…1110000000011110100
3111212220102002202001211
42013101103300003310
54334430324132000
6150420323531204
713331214455431
oct2072123600364
9455812082054
10145245536500
1156664356379
1224196529b04
131090955c74c
14705c166b88
153ba14c97ba
hex21d14f00f4

145245536500 has 48 divisors (see below), whose sum is σ = 317400357456. Its totient is φ = 58064496000.

The previous prime is 145245536489. The next prime is 145245536507. The reversal of 145245536500 is 5635542541.

It can be written as a sum of positive squares in 8 ways, for example, as 95225319396 + 50020217104 = 308586^2 + 223652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145245536507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787074 + ... + 953926.

It is an arithmetic number, because the mean of its divisors is an integer number (6612507447).

Almost surely, 2145245536500 is an apocalyptic number.

145245536500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145245536500 is an abundant number, since it is smaller than the sum of its proper divisors (172154820956).

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

145245536500 is a wasteful number, since it uses less digits than its factorization.

145245536500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168613 (or 168601 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 145245536500 in words is "one hundred forty-five billion, two hundred forty-five million, five hundred thirty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 1741 3482 6964 8705 17410 34820 43525 87050 166853 174100 217625 333706 435250 667412 834265 870500 1668530 3337060 4171325 8342650 16685300 20856625 41713250 83426500 290491073 580982146 1161964292 1452455365 2904910730 5809821460 7262276825 14524553650 29049107300 36311384125 72622768250 145245536500