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368008137041 = 17269376121397
BaseRepresentation
bin1010101101011101111…
…11101000100101010001
31022011220010020100022112
411112232333220211101
522012140040341131
6441021031315105
735405404360346
oct5265677504521
91264803210275
10368008137041
11132086aaa236
125b3a521ba95
132891a6ba80c
1413b513ba7cd
15988ceb802b
hex55aefe8951

368008137041 has 16 divisors (see below), whose sum is σ = 391226481360. Its totient is φ = 344965140480.

The previous prime is 368008137031. The next prime is 368008137047. The reversal of 368008137041 is 140731800863.

It can be written as a sum of positive squares in 8 ways, for example, as 12945888400 + 355062248641 = 113780^2 + 595871^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-368008137041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 368008137041.

It is not an unprimeable number, because it can be changed into a prime (368008137047) 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, 17188355 + ... + 17209751.

It is an arithmetic number, because the mean of its divisors is an integer number (24451655085).

Almost surely, 2368008137041 is an apocalyptic number.

It is an amenable number.

368008137041 is a deficient number, since it is larger than the sum of its proper divisors (23218344319).

368008137041 is a wasteful number, since it uses less digits than its factorization.

368008137041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25444.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 368008137041 in words is "three hundred sixty-eight billion, eight million, one hundred thirty-seven thousand, forty-one".

Divisors: 1 17 269 3761 4573 21397 63937 363749 1011709 5755793 17199053 80474117 97848481 1368059989 21647537473 368008137041