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214173134761 = 29137149361793
BaseRepresentation
bin1100011101110110110…
…1101010111110101001
3202110211002112112022111
43013131231222332221
512002111310303021
6242220105322321
721321260415415
oct3073555527651
9673732475274
10214173134761
1182915173113
12356121963a1
131727276a151
14a51a585d45
1558878a68e1
hex31ddb6afa9

214173134761 has 16 divisors (see below), whose sum is σ = 224674074000. Its totient is φ = 203900182528.

The previous prime is 214173134743. The next prime is 214173134767. The reversal of 214173134761 is 167431371412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 67963536 + 214105171225 = 8244^2 + 462715^2 .

It is a cyclic number.

It is not a de Polignac number, because 214173134761 - 211 = 214173132713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214173134767) 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, 411081 + ... + 772873.

It is an arithmetic number, because the mean of its divisors is an integer number (14042129625).

Almost surely, 2214173134761 is an apocalyptic number.

It is an amenable number.

214173134761 is a deficient number, since it is larger than the sum of its proper divisors (10500939239).

214173134761 is a wasteful number, since it uses less digits than its factorization.

214173134761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362108.

The product of its digits is 84672, while the sum is 40.

The spelling of 214173134761 in words is "two hundred fourteen billion, one hundred seventy-three million, one hundred thirty-four thousand, seven hundred sixty-one".

Divisors: 1 29 137 149 3973 4321 20413 361793 591977 10491997 49565641 53907157 1437403589 1563307553 7385280509 214173134761