Search a number
-
+
146532996045 = 32515720740693
BaseRepresentation
bin1000100001111000001…
…1000001001111001101
3112000020010200110112200
42020132003001033031
54400044421333140
6151152154352113
713405136626002
oct2103603011715
9460203613480
10146532996045
1157165068827
122449572b639
1310a831c6727
1471411418a9
153c2953e030
hex221e0c13cd

146532996045 has 24 divisors (see below), whose sum is σ = 255608312856. Its totient is φ = 77653150848.

The previous prime is 146532996037. The next prime is 146532996061. The reversal of 146532996045 is 540699235641.

146532996045 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 3 + 29 + 9 + 604 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15201410436 + 131331585609 = 123294^2 + 362397^2 .

It is not a de Polignac number, because 146532996045 - 23 = 146532996037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146532995982 and 146532996000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10363282 + ... + 10377411.

It is an arithmetic number, because the mean of its divisors is an integer number (10650346369).

Almost surely, 2146532996045 is an apocalyptic number.

146532996045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146532996045 is a deficient number, since it is larger than the sum of its proper divisors (109075316811).

146532996045 is a wasteful number, since it uses less digits than its factorization.

146532996045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20740861 (or 20740858 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 146532996045 in words is "one hundred forty-six billion, five hundred thirty-two million, nine hundred ninety-six thousand, forty-five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 20740693 62222079 103703465 186666237 311110395 933331185 3256288801 9768866403 16281444005 29306599209 48844332015 146532996045