Search a number
-
+
1982975342720 = 2753181974033
BaseRepresentation
bin11100110110110010100…
…010100111100010000000
321000120101221221122121212
4130312302202213202000
5224442113141431340
64114544415305252
7263156656206521
oct34666242474200
97016357848555
101982975342720
116a4a7a980899
1228039251b228
13114cbc419a78
146bd957d2848
15368ad584a65
hex1cdb28a7880

1982975342720 has 64 divisors (see below), whose sum is σ = 4742045567640. Its totient is φ = 792939970560.

The previous prime is 1982975342653. The next prime is 1982975342729. The reversal of 1982975342720 is 272435792891.

It can be written as a sum of positive squares in 4 ways, for example, as 1661232276544 + 321743066176 = 1288888^2 + 567224^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1982975342720.

It is not an unprimeable number, because it can be changed into a prime (1982975342729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1548824 + ... + 2522856.

Almost surely, 21982975342720 is an apocalyptic number.

1982975342720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982975342720 is an abundant number, since it is smaller than the sum of its proper divisors (2759070224920).

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

1982975342720 is an equidigital number, since it uses as much as digits as its factorization.

1982975342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977233 (or 977221 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 59.

The spelling of 1982975342720 in words is "one trillion, nine hundred eighty-two billion, nine hundred seventy-five million, three hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3181 6362 12724 15905 25448 31810 50896 63620 101792 127240 203584 254480 407168 508960 974033 1017920 1948066 2035840 3896132 4870165 7792264 9740330 15584528 19480660 31169056 38961320 62338112 77922640 124676224 155845280 311690560 623381120 3098398973 6196797946 12393595892 15491994865 24787191784 30983989730 49574383568 61967979460 99148767136 123935958920 198297534272 247871917840 396595068544 495743835680 991487671360 1982975342720