Search a number
-
+
19649077000 = 2353714918839
BaseRepresentation
bin10010010011001011…
…010001111100001000
31212201101012112101121
4102103023101330020
5310220130431000
613005431525024
71263631253530
oct222313217410
955641175347
1019649077000
118373434413
123984529774
131b11a8a5a7
14d458584c0
157a004db1a
hex4932d1f08

19649077000 has 128 divisors (see below), whose sum is σ = 52902720000. Its totient is φ = 6691257600.

The previous prime is 19649076989. The next prime is 19649077009. The reversal of 19649077000 is 77094691.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19649077009) 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, 1033581 + ... + 1052419.

It is an arithmetic number, because the mean of its divisors is an integer number (413302500).

Almost surely, 219649077000 is an apocalyptic number.

19649077000 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 19649077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26451360000).

19649077000 is an abundant number, since it is smaller than the sum of its proper divisors (33253643000).

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

19649077000 is a wasteful number, since it uses less digits than its factorization.

19649077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19016 (or 19002 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 19649077000 in words is "nineteen billion, six hundred forty-nine million, seventy-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 149 175 200 250 280 298 350 500 596 700 745 875 1000 1043 1192 1400 1490 1750 2086 2980 3500 3725 4172 5215 5960 7000 7450 8344 10430 14900 18625 18839 20860 26075 29800 37250 37678 41720 52150 74500 75356 94195 104300 130375 131873 149000 150712 188390 208600 260750 263746 376780 470975 521500 527492 659365 753560 941950 1043000 1054984 1318730 1883900 2354875 2637460 2807011 3296825 3767800 4709750 5274920 5614022 6593650 9419500 11228044 13187300 14035055 16484125 18839000 19649077 22456088 26374600 28070110 32968250 39298154 56140220 65936500 70175275 78596308 98245385 112280440 131873000 140350550 157192616 196490770 280701100 350876375 392981540 491226925 561402200 701752750 785963080 982453850 1403505500 1964907700 2456134625 2807011000 3929815400 4912269250 9824538500 19649077000