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1320210313984 = 286780179601
BaseRepresentation
bin10011001101100010101…
…010101011001100000000
311200012200201121210000201
4103031202222223030000
5133112242320021414
62450255104454544
7164245020340522
oct23154252531400
94605621553021
101320210313984
11469997339221
12193a4791a454
139765922ab03
1447c81779a12
152451d386574
hex13362aab300

1320210313984 has 72 divisors (see below), whose sum is σ = 2675208073328. Its totient is φ = 650104012800.

The previous prime is 1320210313937. The next prime is 1320210313999. The reversal of 1320210313984 is 4893130120231.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 137502784 + ... + 137512384.

Almost surely, 21320210313984 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 1320210313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337604036664).

1320210313984 is an abundant number, since it is smaller than the sum of its proper divisors (1354997759344).

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

1320210313984 is an frugal number, since it uses more digits than its factorization.

1320210313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17701 (or 17687 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 1320210313984 in words is "one trillion, three hundred twenty billion, two hundred ten million, three hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 8017 8576 9601 16034 17152 19202 32068 38404 64136 76808 128272 153616 256544 307232 513088 537139 614464 643267 1026176 1074278 1228928 1286534 2052352 2148556 2457856 2573068 4297112 5146136 8594224 10292272 17188448 20584544 34376896 41169088 68753792 76971217 82338176 137507584 153942434 164676352 307884868 615769736 1231539472 2463078944 4926157888 5157071539 9852315776 10314143078 19704631552 20628286156 41256572312 82513144624 165026289248 330052578496 660105156992 1320210313984