Search a number
-
+
146715529464 = 23327291102241
BaseRepresentation
bin1000100010100011101…
…1010101000011111000
3112000200212011010022200
42020220323111003320
54400433133420324
6151222234550200
713412514265260
oct2105073250370
9460625133280
10146715529464
1157249100899
1224526898360
1310ab1c7677a
14715b4987a0
153c3a597ec9
hex2228ed50f8

146715529464 has 48 divisors (see below), whose sum is σ = 454119497520. Its totient is φ = 41918722560.

The previous prime is 146715529459. The next prime is 146715529489. The reversal of 146715529464 is 464925517641.

146715529464 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 155 + 29 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146715529464.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 145550617 + ... + 145551624.

It is an arithmetic number, because the mean of its divisors is an integer number (9460822865).

Almost surely, 2146715529464 is an apocalyptic number.

146715529464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146715529464 is an abundant number, since it is smaller than the sum of its proper divisors (307403968056).

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

146715529464 is a wasteful number, since it uses less digits than its factorization.

146715529464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291102260 (or 291102253 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 146715529464 in words is "one hundred forty-six billion, seven hundred fifteen million, five hundred twenty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 291102241 582204482 873306723 1164408964 1746613446 2037715687 2328817928 2619920169 3493226892 4075431374 5239840338 6113147061 6986453784 8150862748 10479680676 12226294122 16301725496 18339441183 20959361352 24452588244 36678882366 48905176488 73357764732 146715529464