Search a number
-
+
9980549920 = 2551117332779
BaseRepresentation
bin10010100101110001…
…10001101100100000
3221202120011110122001
421102320301230200
5130420010044140
64330205453344
7502220163115
oct112270615440
927676143561
109980549920
11426183a970
121b26571254
13c3096a453
146a973c90c
153d6319e9a
hex252e31b20

9980549920 has 96 divisors (see below), whose sum is σ = 25872073920. Its totient is φ = 3608202240.

The previous prime is 9980549911. The next prime is 9980549921. The reversal of 9980549920 is 299450899.

It is a super-2 number, since 2×99805499202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (9980549921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288091 + ... + 320869.

It is an arithmetic number, because the mean of its divisors is an integer number (269500770).

Almost surely, 29980549920 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 9980549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936036960).

9980549920 is an abundant number, since it is smaller than the sum of its proper divisors (15891524000).

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

9980549920 is a wasteful number, since it uses less digits than its factorization.

9980549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32978 (or 32970 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The square root of 9980549920 is about 99902.7022657546. The cubic root of 9980549920 is about 2153.0369858887.

The spelling of 9980549920 in words is "nine billion, nine hundred eighty million, five hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 173 176 220 346 352 440 692 865 880 1384 1730 1760 1903 2768 3460 3806 5536 6920 7612 9515 13840 15224 19030 27680 30448 32779 38060 60896 65558 76120 131116 152240 163895 262232 304480 327790 360569 524464 655580 721138 1048928 1311160 1442276 1802845 2622320 2884552 3605690 5244640 5670767 5769104 7211380 11341534 11538208 14422760 22683068 28353835 28845520 45366136 56707670 57691040 62378437 90732272 113415340 124756874 181464544 226830680 249513748 311892185 453661360 499027496 623784370 907322720 998054992 1247568740 1996109984 2495137480 4990274960 9980549920