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1980109768 = 2371322312197
BaseRepresentation
bin111011000000110…
…0001001111001000
312002222220222221211
41312001201033020
513023402003033
6524252342504
7100032440530
oct16601411710
95088828854
101980109768
119267a185a
12473174a34
13257301bb0
1414ad9c4c0
15b8c842cd
hex760613c8

1980109768 has 64 divisors (see below), whose sum is σ = 4590351360. Its totient is φ = 779763456.

The previous prime is 1980109753. The next prime is 1980109811. The reversal of 1980109768 is 8679010891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156246 + ... + 168442.

It is an arithmetic number, because the mean of its divisors is an integer number (71724240).

Almost surely, 21980109768 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 1980109768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295175680).

1980109768 is an abundant number, since it is smaller than the sum of its proper divisors (2610241592).

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

1980109768 is a wasteful number, since it uses less digits than its factorization.

1980109768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 49.

The square root of 1980109768 is about 44498.4243316547. The cubic root of 1980109768 is about 1255.7304400083.

The spelling of 1980109768 in words is "one billion, nine hundred eighty million, one hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 223 364 446 728 892 1561 1784 2899 3122 5798 6244 11596 12197 12488 20293 23192 24394 40586 48788 81172 85379 97576 158561 162344 170758 317122 341516 634244 683032 1109927 1268488 2219854 2719931 4439708 5439862 8879416 10879724 19039517 21759448 35359103 38079034 70718206 76158068 141436412 152316136 247513721 282872824 495027442 990054884 1980109768