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199821969464 = 23138325192227
BaseRepresentation
bin1011101000011001010…
…0010100100000111000
3201002202221021210111212
42322012110110200320
511233213411010324
6231444050142252
720302526500355
oct2720624244070
9632687253455
10199821969464
1177820324227
1232887b81988
1315ac6487870
1499585bb62c
1552e7a0970e
hex2e86514838

199821969464 has 64 divisors (see below), whose sum is σ = 409979283840. Its totient is φ = 90750384000.

The previous prime is 199821969443. The next prime is 199821969481. The reversal of 199821969464 is 464969128991.

It is a junction number, because it is equal to n+sod(n) for n = 199821969394 and 199821969403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2120519 + ... + 2212745.

It is an arithmetic number, because the mean of its divisors is an integer number (6405926310).

Almost surely, 2199821969464 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 199821969464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204989641920).

199821969464 is an abundant number, since it is smaller than the sum of its proper divisors (210157314376).

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

199821969464 is a wasteful number, since it uses less digits than its factorization.

199821969464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92580 (or 92576 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 68.

The spelling of 199821969464 in words is "one hundred ninety-nine billion, eight hundred twenty-one million, nine hundred sixty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 83 104 166 251 332 502 664 1004 1079 2008 2158 3263 4316 6526 8632 13052 20833 26104 41666 83332 92227 166664 184454 270829 368908 541658 737816 1083316 1198951 2166632 2397902 4795804 7654841 9591608 15309682 23148977 30619364 46297954 61238728 92595908 99512933 185191816 199025866 300936701 398051732 601873402 796103464 1203746804 1921365091 2407493608 3842730182 7685460364 15370920728 24977746183 49955492366 99910984732 199821969464