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5177106540 = 2232528761703
BaseRepresentation
bin1001101001001010…
…00110000001101100
3111100210122021001200
410310211012001230
541100314402130
62213415205500
7242202452034
oct46445060154
914323567050
105177106540
112217383851
121005976890
1364675b768
143718048c4
1520478c760
hex13494606c

5177106540 has 36 divisors (see below), whose sum is σ = 15703890384. Its totient is φ = 1380561696.

The previous prime is 5177106527. The next prime is 5177106553. The reversal of 5177106540 is 456017715.

5177106540 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 106 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (5177106527) and next prime (5177106553).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5177106495 and 5177106504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14380672 + ... + 14381031.

Almost surely, 25177106540 is an apocalyptic number.

It is an amenable number.

5177106540 is an abundant number, since it is smaller than the sum of its proper divisors (10526783844).

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

5177106540 is a wasteful number, since it uses less digits than its factorization.

5177106540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28761718 (or 28761713 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 5177106540 is about 71952.1128251284. The cubic root of 5177106540 is about 1729.9320075297.

The spelling of 5177106540 in words is "five billion, one hundred seventy-seven million, one hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 28761703 57523406 86285109 115046812 143808515 172570218 258855327 287617030 345140436 431425545 517710654 575234060 862851090 1035421308 1294276635 1725702180 2588553270 5177106540