Search a number
-
+
145552056180 = 22352983650607
BaseRepresentation
bin1000011110001110010…
…1000001111101110100
3111220200202212120000120
42013203211001331310
54341042311244210
6150510553411540
713341626031006
oct2074345017564
9456622776016
10145552056180
1156801383123
1224261109bb0
1310957c00c3b
14708ab56376
153bbd375270
hex21e3941f74

145552056180 has 48 divisors (see below), whose sum is σ = 421599064320. Its totient is φ = 37475471488.

The previous prime is 145552056179. The next prime is 145552056217. The reversal of 145552056180 is 81650255541.

145552056180 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41823564 + ... + 41827043.

It is an arithmetic number, because the mean of its divisors is an integer number (8783313840).

Almost surely, 2145552056180 is an apocalyptic number.

145552056180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145552056180 is an abundant number, since it is smaller than the sum of its proper divisors (276047008140).

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

145552056180 is a wasteful number, since it uses less digits than its factorization.

145552056180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83650648 (or 83650646 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 145552056180 in words is "one hundred forty-five billion, five hundred fifty-two million, fifty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 83650607 167301214 250951821 334602428 418253035 501903642 836506070 1003807284 1254759105 1673012140 2425867603 2509518210 4851735206 5019036420 7277602809 9703470412 12129338015 14555205618 24258676030 29110411236 36388014045 48517352060 72776028090 145552056180