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6132156401 = 742988069
BaseRepresentation
bin1011011011000000…
…10100011111110001
3120211100201211011202
411231200110133301
5100024313001101
62452253220545
7304650320000
oct55540243761
916740654152
106132156401
112667495958
121231791755
1376958ac17
144225b0c37
1525d54036b
hex16d8147f1

6132156401 has 20 divisors (see below), whose sum is σ = 7400522100. Its totient is φ = 5074830432.

The previous prime is 6132156367. The next prime is 6132156413. The reversal of 6132156401 is 1046512316.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4208895376 + 1923261025 = 64876^2 + 43855^2 .

It is not a de Polignac number, because 6132156401 - 222 = 6127962097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6132156451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25595 + ... + 113663.

It is an arithmetic number, because the mean of its divisors is an integer number (370026105).

Almost surely, 26132156401 is an apocalyptic number.

It is an amenable number.

6132156401 is a deficient number, since it is larger than the sum of its proper divisors (1268365699).

6132156401 is an frugal number, since it uses more digits than its factorization.

6132156401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88126 (or 88105 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 6132156401 is about 78308.0864342885. The cubic root of 6132156401 is about 1830.3651615852.

Adding to 6132156401 its reverse (1046512316), we get a palindrome (7178668717).

The spelling of 6132156401 in words is "six billion, one hundred thirty-two million, one hundred fifty-six thousand, four hundred one".

Divisors: 1 7 29 49 203 343 1421 2401 9947 69629 88069 616483 2554001 4315381 17878007 30207667 125146049 211453669 876022343 6132156401