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1312369866976 = 257291741116041
BaseRepresentation
bin10011000110001111010…
…101101111100011100000
311122110110022102210200111
4103012033111233203200
5133000213141220401
62442521104501104
7163546514545450
oct23061725574340
94573408383614
101312369866976
11466633638353
1219241a01a794
13969a9a7cb5c
144773a365d60
152420eda5e51
hex1318f56f8e0

1312369866976 has 96 divisors (see below), whose sum is σ = 3056434879680. Its totient is φ = 542733004800.

The previous prime is 1312369866967. The next prime is 1312369866979. The reversal of 1312369866976 is 6796689632131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312369866979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11251516 + ... + 11367556.

It is an arithmetic number, because the mean of its divisors is an integer number (31837863330).

Almost surely, 21312369866976 is an apocalyptic number.

1312369866976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312369866976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528217439840).

1312369866976 is an abundant number, since it is smaller than the sum of its proper divisors (1744065012704).

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

1312369866976 is a wasteful number, since it uses less digits than its factorization.

1312369866976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117828 (or 117820 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 67.

The spelling of 1312369866976 in words is "one trillion, three hundred twelve billion, three hundred sixty-nine million, eight hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 1741 3248 3482 6496 6964 12187 13928 24374 27856 48748 50489 55712 97496 100978 116041 194992 201956 232082 353423 389984 403912 464164 706846 807824 812287 928328 1413692 1615648 1624574 1856656 2827384 3249148 3365189 3713312 5654768 6498296 6730378 11309536 12996592 13460756 23556323 25993184 26921512 47112646 53843024 94225292 107686048 188450584 202027381 376901168 404054762 753802336 808109524 1414191667 1616219048 2828383334 3232438096 5656766668 5858794049 6464876192 11313533336 11717588098 22627066672 23435176196 41011558343 45254133344 46870352392 82023116686 93740704784 164046233372 187481409568 328092466744 656184933488 1312369866976