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146801377047 = 31359252125307
BaseRepresentation
bin1000100010111000001…
…0110011111100010111
3112000220211200122001210
42020232002303330113
54401122123031142
6151234542552503
713414606054623
oct2105602637427
9460824618053
10146801377047
1157292606406
122454b598733
1310ac69a3660
147168a44183
153c42da449c
hex222e0b3f17

146801377047 has 32 divisors (see below), whose sum is σ = 214457967360. Its totient is φ = 88769399040.

The previous prime is 146801377039. The next prime is 146801377067. The reversal of 146801377047 is 740773108641.

146801377047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146801377047 - 23 = 146801377039 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 146801376987 and 146801377005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146801377067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5788168 + ... + 5813474.

It is an arithmetic number, because the mean of its divisors is an integer number (6701811480).

Almost surely, 2146801377047 is an apocalyptic number.

146801377047 is a deficient number, since it is larger than the sum of its proper divisors (67656590313).

146801377047 is a wasteful number, since it uses less digits than its factorization.

146801377047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27903.

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 146801377047 in words is "one hundred forty-six billion, eight hundred one million, three hundred seventy-seven thousand, forty-seven".

Divisors: 1 3 13 39 59 177 767 2301 2521 7563 25307 32773 75921 98319 148739 328991 446217 986973 1493113 1933607 4479339 5800821 19410469 58231407 63798947 191396841 829386311 2488158933 3764137873 11292413619 48933792349 146801377047