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1929213158401 = 29372293784109
BaseRepresentation
bin11100000100101110000…
…100001010010000000001
320211102122011220201100001
4130010232010022100001
5223102012032032101
64034133541200001
7256244462164414
oct34045604122001
96742564821301
101929213158401
116841a1596001
12271a89700001
1310cc020c3199
1469535575b7b
15352b3793901
hex1c12e10a401

1929213158401 has 16 divisors (see below), whose sum is σ = 2050573107600. Its totient is φ = 1811552940288.

The previous prime is 1929213158377. The next prime is 1929213158413. The reversal of 1929213158401 is 1048513129291.

It can be written as a sum of positive squares in 8 ways, for example, as 284152963600 + 1645060194801 = 533060^2 + 1282599^2 .

It is a cyclic number.

It is not a de Polignac number, because 1929213158401 - 27 = 1929213158273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1929213153401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2068335 + ... + 2852443.

It is an arithmetic number, because the mean of its divisors is an integer number (128160819225).

Almost surely, 21929213158401 is an apocalyptic number.

It is an amenable number.

1929213158401 is a deficient number, since it is larger than the sum of its proper divisors (121359949199).

1929213158401 is a wasteful number, since it uses less digits than its factorization.

1929213158401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786468.

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 1929213158401 in words is "one trillion, nine hundred twenty-nine billion, two hundred thirteen million, one hundred fifty-eight thousand, four hundred one".

Divisors: 1 29 37 1073 2293 66497 84841 784109 2460389 22739161 29012033 841348957 1797961937 52140896173 66524591669 1929213158401