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1631832381361 = 71330758411153
BaseRepresentation
bin10111101111110000110…
…010100001011110110001
312210000001012112000000201
4113233300302201132301
5203213443042200421
63245353051115201
7225616220244430
oct27576062413661
95700035460021
101631832381361
1157a068923786
12224315442b01
13bab5bb08060
1458da423b117
152c6ab010b91
hex17bf0ca17b1

1631832381361 has 16 divisors (see below), whose sum is σ = 2014951168384. Its totient is φ = 1286914500864.

The previous prime is 1631832381323. The next prime is 1631832381427.

1631832381361 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1631832381361 - 211 = 1631832379313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1631832381061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29177640 + ... + 29233513.

It is an arithmetic number, because the mean of its divisors is an integer number (125934448024).

Almost surely, 21631832381361 is an apocalyptic number.

It is an amenable number.

1631832381361 is a deficient number, since it is larger than the sum of its proper divisors (383118787023).

1631832381361 is a wasteful number, since it uses less digits than its factorization.

1631832381361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58411480.

The product of its digits is 373248, while the sum is 46.

The spelling of 1631832381361 in words is "one trillion, six hundred thirty-one billion, eight hundred thirty-two million, three hundred eighty-one thousand, three hundred sixty-one".

Divisors: 1 7 13 91 307 2149 3991 27937 58411153 408878071 759344989 5315414923 17932223971 125525567797 233118911623 1631832381361