Search a number
-
+
146006511664 = 2413253996491
BaseRepresentation
bin1000011111111010101…
…0101001000000110000
3111221212110000021202011
42013332222221000300
54343010131333124
6151024030132304
713356114605056
oct2077652510060
9457773007664
10146006511664
1156a14962272
1224369351094
13109cb0ca900
1470d12541d6
153be81e3994
hex21feaa9030

146006511664 has 30 divisors (see below), whose sum is σ = 306322099116. Its totient is φ = 67387619520.

The previous prime is 146006511659. The next prime is 146006511697. The reversal of 146006511664 is 466115600641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26995542 + ... + 27000949.

Almost surely, 2146006511664 is an apocalyptic number.

It is an amenable number.

146006511664 is an abundant number, since it is smaller than the sum of its proper divisors (160315587452).

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

146006511664 is a wasteful number, since it uses less digits than its factorization.

146006511664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53996525 (or 53996506 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 146006511664 in words is "one hundred forty-six billion, six million, five hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 53996491 107992982 215985964 431971928 701954383 863943856 1403908766 2807817532 5615635064 9125406979 11231270128 18250813958 36501627916 73003255832 146006511664