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19931082000 = 243536135419
BaseRepresentation
bin10010100011111111…
…000010110100010000
31220110000211212112020
4102203333002310100
5311304324111000
613053424131440
71303624254534
oct224377026420
956400755466
1019931082000
1184a86379a5
123a42a66b80
131b5832775b
14d710a5bc4
157b9ba5ba0
hex4a3fc2d10

19931082000 has 160 divisors (see below), whose sum is σ = 64374510720. Its totient is φ = 5305305600.

The previous prime is 19931081977. The next prime is 19931082007. The reversal of 19931082000 is 28013991.

It is not an unprimeable number, because it can be changed into a prime (19931082007) 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, 3675291 + ... + 3680709.

It is an arithmetic number, because the mean of its divisors is an integer number (402340692).

Almost surely, 219931082000 is an apocalyptic number.

19931082000 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 19931082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32187255360).

19931082000 is an abundant number, since it is smaller than the sum of its proper divisors (44443428720).

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

19931082000 is a wasteful number, since it uses less digits than its factorization.

19931082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

Adding to 19931082000 its reverse (28013991), we get a palindrome (19959095991).

The spelling of 19931082000 in words is "nineteen billion, nine hundred thirty-one million, eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 613 750 1000 1200 1226 1500 1839 2000 2452 3000 3065 3678 4904 5419 6000 6130 7356 9195 9808 10838 12260 14712 15325 16257 18390 21676 24520 27095 29424 30650 32514 36780 43352 45975 49040 54190 61300 65028 73560 76625 81285 86704 91950 108380 122600 130056 135475 147120 153250 162570 183900 216760 229875 245200 260112 270950 306500 325140 367800 406425 433520 459750 541900 613000 650280 677375 735600 812850 919500 1083800 1226000 1300560 1354750 1625700 1839000 2032125 2167600 2709500 3251400 3321847 3678000 4064250 5419000 6502800 6643694 8128500 9965541 10838000 13287388 16257000 16609235 19931082 26574776 32514000 33218470 39862164 49827705 53149552 66436940 79724328 83046175 99655410 132873880 159448656 166092350 199310820 249138525 265747760 332184700 398621640 415230875 498277050 664369400 797243280 830461750 996554100 1245692625 1328738800 1660923500 1993108200 2491385250 3321847000 3986216400 4982770500 6643694000 9965541000 19931082000