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1329588001 = 72193140593
BaseRepresentation
bin100111100111111…
…1110011100100001
310102122212001212001
41033033332130201
510210333304001
6335533404001
744643211600
oct11717763441
93378761761
101329588001
11622577165
12311339601
131825c7581
14c8823a37
157bad7001
hex4f3fe721

1329588001 has 12 divisors (see below), whose sum is σ = 1554688452. Its totient is φ = 1133733888.

The previous prime is 1329587981. The next prime is 1329588011. The reversal of 1329588001 is 1008859231.

It can be written as a sum of positive squares in 2 ways, for example, as 837813025 + 491774976 = 28945^2 + 22176^2 .

It is not a de Polignac number, because 1329588001 - 215 = 1329555233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1329588011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60840 + ... + 79753.

It is an arithmetic number, because the mean of its divisors is an integer number (129557371).

Almost surely, 21329588001 is an apocalyptic number.

It is an amenable number.

1329588001 is a deficient number, since it is larger than the sum of its proper divisors (225100451).

1329588001 is a wasteful number, since it uses less digits than its factorization.

1329588001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140800 (or 140793 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 1329588001 is about 36463.5160262968. The cubic root of 1329588001 is about 1099.6108819274.

The spelling of 1329588001 in words is "one billion, three hundred twenty-nine million, five hundred eighty-eight thousand, one".

Divisors: 1 7 49 193 1351 9457 140593 984151 6889057 27134449 189941143 1329588001