Search a number
-
+
146165460545127 = 3379713575319081
BaseRepresentation
bin100001001110111111001100…
…010110101010111001100111
3201011112021121020222200012110
4201032333030112222321213
5123124233330344421002
61234511252515452103
742534051241160142
oct4116771426527147
9634467536880173
10146165460545127
1142633472a52171
1214487a18bb7033
1363734613b83aa
142814635cd7059
1511d71744dae6c
hex84efcc5aae67

146165460545127 has 16 divisors (see below), whose sum is σ = 202217953045472. Its totient is φ = 93832605480960.

The previous prime is 146165460545119. The next prime is 146165460545149. The reversal of 146165460545127 is 721545064561641.

It is not a de Polignac number, because 146165460545127 - 23 = 146165460545119 is a prime.

It is a super-2 number, since 2×1461654605451272 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146165460545527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6787648774 + ... + 6787670307.

It is an arithmetic number, because the mean of its divisors is an integer number (12638622065342).

Almost surely, 2146165460545127 is an apocalyptic number.

146165460545127 is a deficient number, since it is larger than the sum of its proper divisors (56052492500345).

146165460545127 is a wasteful number, since it uses less digits than its factorization.

146165460545127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13575319218.

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 146165460545127 in words is "one hundred forty-six trillion, one hundred sixty-five billion, four hundred sixty million, five hundred forty-five thousand, one hundred twenty-seven".

Divisors: 1 3 37 97 111 291 3589 10767 13575319081 40725957243 502286805997 1316805950857 1506860417991 3950417852571 48721820181709 146165460545127