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19000968300 = 22325291922973
BaseRepresentation
bin10001101100100010…
…111100010001101100
31211001012200012101200
4101230202330101230
5302403221441200
612421240405500
71241601365016
oct215442742154
954035605350
1019000968300
118070607796
123823476890
131a3a719412
14cc374b1b6
157631cb800
hex46c8bc46c

19000968300 has 108 divisors (see below), whose sum is σ = 59624881680. Its totient is φ = 5061191040.

The previous prime is 19000968223. The next prime is 19000968377. The reversal of 19000968300 is 386900091.

It is an interprime number because it is at equal distance from previous prime (19000968223) and next prime (19000968377).

It is a super-2 number, since 2×190009683002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 815614 + ... + 838586.

Almost surely, 219000968300 is an apocalyptic number.

19000968300 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 19000968300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29812440840).

19000968300 is an abundant number, since it is smaller than the sum of its proper divisors (40623913380).

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

19000968300 is a wasteful number, since it uses less digits than its factorization.

19000968300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23912 (or 23902 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 19000968300 its sum of digits (36), we get a square (19000968336 = 1378442).

The spelling of 19000968300 in words is "nineteen billion, nine hundred sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 919 1838 2757 3676 4595 5514 8271 9190 11028 13785 16542 18380 22973 22975 27570 33084 41355 45946 45950 55140 68919 68925 82710 91892 91900 114865 137838 137850 165420 206757 206775 229730 275676 275700 344595 413514 413550 459460 574325 689190 827028 827100 1033785 1148650 1378380 1722975 2067570 2297300 3445950 4135140 5168925 6891900 10337850 20675700 21112187 42224374 63336561 84448748 105560935 126673122 190009683 211121870 253346244 316682805 380019366 422243740 527804675 633365610 760038732 950048415 1055609350 1266731220 1583414025 1900096830 2111218700 3166828050 3800193660 4750242075 6333656100 9500484150 19000968300