Search a number
-
+
146211650674101 = 33192571108999861
BaseRepresentation
bin100001001111101010001101…
…100000000001110110110101
3201011200200211022212100022000
4201033222031200001312311
5123131012430033032401
61234544412142325513
742540305001612165
oct4117521540016665
9634620738770260
10146211650674101
1142651016091781
1214494969b89899
136377912a45a5c
1428169786465a5
1511d8479665186
hex84fa8d801db5

146211650674101 has 32 divisors (see below), whose sum is σ = 228897571516800. Its totient is φ = 91984884387840.

The previous prime is 146211650674093. The next prime is 146211650674123. The reversal of 146211650674101 is 101476056112641.

146211650674101 is a `hidden beast` number, since 1 + 4 + 6 + 21 + 16 + 506 + 7 + 4 + 101 = 666.

It is not a de Polignac number, because 146211650674101 - 23 = 146211650674093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146211650674151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554368090 + ... + 554631771.

It is an arithmetic number, because the mean of its divisors is an integer number (7153049109900).

Almost surely, 2146211650674101 is an apocalyptic number.

It is an amenable number.

146211650674101 is a deficient number, since it is larger than the sum of its proper divisors (82685920842699).

146211650674101 is a wasteful number, since it uses less digits than its factorization.

146211650674101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109000146 (or 1109000140 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 146211650674101 in words is "one hundred forty-six trillion, two hundred eleven billion, six hundred fifty million, six hundred seventy-four thousand, one hundred one".

Divisors: 1 3 9 19 27 57 171 257 513 771 2313 4883 6939 14649 43947 131841 1108999861 3326999583 9980998749 21070997359 29942996247 63212992077 189638976231 285012964277 568916928693 855038892831 2565116678493 5415246321263 7695350035479 16245738963789 48737216891367 146211650674101