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199201581980 = 22537678348407
BaseRepresentation
bin1011100110000101010…
…1101110101110011100
3201001011200220211212122
42321201111232232130
511230431101110410
6231302325122112
720251254336452
oct2714125565634
9631150824778
10199201581980
11775321109a5
1232734259338
1315a27aa138b
1498da0489d2
1552ad310e55
hex2e6156eb9c

199201581980 has 96 divisors (see below), whose sum is σ = 441304367616. Its totient is φ = 75448302336.

The previous prime is 199201581967. The next prime is 199201581983. The reversal of 199201581980 is 89185102991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199201581983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4090937 + ... + 4139343.

It is an arithmetic number, because the mean of its divisors is an integer number (4596920496).

Almost surely, 2199201581980 is an apocalyptic number.

199201581980 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 199201581980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220652183808).

199201581980 is an abundant number, since it is smaller than the sum of its proper divisors (242102785636).

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

199201581980 is a wasteful number, since it uses less digits than its factorization.

199201581980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48603 (or 48601 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 53.

The spelling of 199201581980 in words is "one hundred ninety-nine billion, two hundred one million, five hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 67 74 83 134 148 166 185 268 332 335 370 415 670 740 830 1340 1660 2479 3071 4958 5561 6142 9916 11122 12284 12395 15355 22244 24790 27805 30710 48407 49580 55610 61420 96814 111220 193628 205757 242035 411514 484070 823028 968140 1028785 1791059 2057570 3243269 3582118 4017781 4115140 6486538 7164236 8035562 8955295 12973076 16071124 16216345 17910590 20088905 32432690 35821180 40177810 64865380 80355620 120000953 148657897 240001906 269191327 297315794 480003812 538382654 594631588 600004765 743289485 1076765308 1200009530 1345956635 1486578970 2400019060 2691913270 2973157940 5383826540 9960079099 19920158198 39840316396 49800395495 99600790990 199201581980