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1031213919568 = 2473212988259
BaseRepresentation
bin11110000000110010010…
…00111010110101010000
310122120202001220211110011
433000121020322311100
5113343411230411233
62105422205044304
7134334304456000
oct17003110726520
93576661824404
101031213919568
11368376412738
12147a33556694
1376320cb9a31
1437ca7ba6000
151bc56c2a0cd
hexf01923ad50

1031213919568 has 80 divisors (see below), whose sum is σ = 2331123120000. Its totient is φ = 441736232448.

The previous prime is 1031213919563. The next prime is 1031213919611. The reversal of 1031213919568 is 8659193121301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031213919563) 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 15 ways as a sum of consecutive naturals, for example, 11639823 + ... + 11728081.

It is an arithmetic number, because the mean of its divisors is an integer number (29139039000).

Almost surely, 21031213919568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031213919568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165561560000).

1031213919568 is an abundant number, since it is smaller than the sum of its proper divisors (1299909200432).

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

1031213919568 is an equidigital number, since it uses as much as digits as its factorization.

1031213919568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90417 (or 90397 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 49.

The spelling of 1031213919568 in words is "one trillion, thirty-one billion, two hundred thirteen million, nine hundred nineteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2129 2744 4258 5488 8516 14903 17032 29806 34064 59612 88259 104321 119224 176518 208642 238448 353036 417284 617813 706072 730247 834568 1235626 1412144 1460494 1669136 2471252 2920988 4324691 4942504 5841976 8649382 9885008 11683952 17298764 30272837 34597528 60545674 69195056 121091348 187903411 242182696 375806822 484365392 751613644 1315323877 1503227288 2630647754 3006454576 5261295508 9207267139 10522591016 18414534278 21045182032 36829068556 64450869973 73658137112 128901739946 147316274224 257803479892 515606959784 1031213919568