Search a number
-
+
146068562432 = 291321945397
BaseRepresentation
bin1000100000001001011…
…1010110001000000000
3111222000202202210101202
42020002113112020000
54343122022444212
6151034124120332
713360500203102
oct2100227261000
9458022683352
10146068562432
1156a469939a1
12243860960a8
1310a0ac15140
1470d95a7572
153bed89e0c2
hex22025d6200

146068562432 has 40 divisors (see below), whose sum is σ = 314301990156. Its totient is φ = 67416256512.

The previous prime is 146068562411. The next prime is 146068562483. The reversal of 146068562432 is 234265860641.

It can be written as a sum of positive squares in 2 ways, for example, as 101388749056 + 44679813376 = 318416^2 + 211376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10966043 + ... + 10979354.

Almost surely, 2146068562432 is an apocalyptic number.

It is an amenable number.

146068562432 is an abundant number, since it is smaller than the sum of its proper divisors (168233427724).

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

146068562432 is an equidigital number, since it uses as much as digits as its factorization.

146068562432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21945428 (or 21945412 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

It can be divided in two parts, 146068 and 562432, that multiplied together give a square (82153317376 = 2866242).

The spelling of 146068562432 in words is "one hundred forty-six billion, sixty-eight million, five hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 21945397 43890794 87781588 175563176 285290161 351126352 570580322 702252704 1141160644 1404505408 2282321288 2809010816 4564642576 5618021632 9129285152 11236043264 18258570304 36517140608 73034281216 146068562432