Search a number
-
+
146506380551 = 4714956337159
BaseRepresentation
bin1000100001110001110…
…1011111010100000111
3112000011021121020221122
42020130131133110013
54400021113134201
6151145404104155
713404364454546
oct2103435372407
9460137536848
10146506380551
115715103a153
122448883505b
1310a7a83810b
14713b7b415d
153c27032e1b
hex221c75f507

146506380551 has 16 divisors (see below), whose sum is σ = 150899328000. Its totient is φ = 142170075168.

The previous prime is 146506380533. The next prime is 146506380557. The reversal of 146506380551 is 155083605641.

146506380551 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 146506380551 - 214 = 146506364167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146506380557) 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 15 ways as a sum of consecutive naturals, for example, 3924110 + ... + 3961268.

It is an arithmetic number, because the mean of its divisors is an integer number (9431208000).

Almost surely, 2146506380551 is an apocalyptic number.

146506380551 is a deficient number, since it is larger than the sum of its proper divisors (4392947449).

146506380551 is a wasteful number, since it uses less digits than its factorization.

146506380551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37918.

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 146506380551 in words is "one hundred forty-six billion, five hundred six million, three hundred eighty thousand, five hundred fifty-one".

Divisors: 1 47 149 563 7003 26461 37159 83887 1746473 3942689 5536691 20920517 260224477 983264299 3117157033 146506380551