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1318170700720 = 2451131451100493
BaseRepresentation
bin10011001011101001000…
…110001010101110110000
311200000102120201200121201
4103023221012022232300
5133044103144410340
62445320444500544
7164143333041256
oct23135106125660
94600376650551
101318170700720
1146903aaa5625
1219357884a754
13973c27c3c63
1447b2a92c5d6
152444e29b79a
hex132e918abb0

1318170700720 has 80 divisors (see below), whose sum is σ = 3094030174752. Its totient is φ = 522236825600.

The previous prime is 1318170700603. The next prime is 1318170700727. The reversal of 1318170700720 is 270070718131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1318170700720.

It is not an unprimeable number, because it can be changed into a prime (1318170700727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13066794 + ... + 13167286.

Almost surely, 21318170700720 is an apocalyptic number.

1318170700720 is a gapful number since it is divisible by the number (10) 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 1318170700720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547015087376).

1318170700720 is an abundant number, since it is smaller than the sum of its proper divisors (1775859474032).

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

1318170700720 is a wasteful number, since it uses less digits than its factorization.

1318170700720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102070 (or 102064 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 37.

The spelling of 1318170700720 in words is "one trillion, three hundred eighteen billion, one hundred seventy million, seven hundred thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1451 1808 2260 2902 4520 5804 7255 9040 11608 14510 23216 29020 58040 100493 116080 163963 200986 327926 401972 502465 655852 803944 819815 1004930 1311704 1607888 1639630 2009860 2623408 3279260 4019720 6558520 8039440 11355709 13117040 22711418 45422836 56778545 90845672 113557090 145815343 181691344 227114180 291630686 454228360 583261372 729076715 908456720 1166522744 1458153430 2333045488 2916306860 5832613720 11665227440 16477133759 32954267518 65908535036 82385668795 131817070072 164771337590 263634140144 329542675180 659085350360 1318170700720