Search a number
-
+
1997120572720 = 245713532611601
BaseRepresentation
bin11101000011111101101…
…010011000110100110000
321001220220202200210022021
4131003331222120310300
5230210100331311340
64125244200521224
7264200336530240
oct35037552306460
97056822623267
101997120572720
116aaa79553519
1228307b780214
13116434b47650
146c9382b1b20
1536e3a303e4a
hex1d0fda98d30

1997120572720 has 480 divisors, whose sum is σ = 5923883597184. Its totient is φ = 609583104000.

The previous prime is 1997120572709. The next prime is 1997120572751. The reversal of 1997120572720 is 272750217991.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1247419920 + ... + 1247421520.

Almost surely, 21997120572720 is an apocalyptic number.

1997120572720 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 1997120572720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961941798592).

1997120572720 is an abundant number, since it is smaller than the sum of its proper divisors (3926763024464).

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

1997120572720 is a wasteful number, since it uses less digits than its factorization.

1997120572720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 52.

The spelling of 1997120572720 in words is "one trillion, nine hundred ninety-seven billion, one hundred twenty million, five hundred seventy-two thousand, seven hundred twenty".