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19219035040 = 2551930720593
BaseRepresentation
bin10001111001100010…
…110011001110100000
31211121102000010201121
4101321202303032200
5303330033110130
612455030342024
71250160050062
oct217142631640
954542003647
1019219035040
11817270a537
1238844ba914
131a7395abaa
14d046b3732
15777403d7a
hex4798b33a0

19219035040 has 96 divisors (see below), whose sum is σ = 47952717120. Its totient is φ = 7258927104.

The previous prime is 19219034981. The next prime is 19219035049. The reversal of 19219035040 is 4053091291.

It is a junction number, because it is equal to n+sod(n) for n = 19219034987 and 19219035005.

It is not an unprimeable number, because it can be changed into a prime (19219035049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922984 + ... + 943576.

It is an arithmetic number, because the mean of its divisors is an integer number (499507470).

Almost surely, 219219035040 is an apocalyptic number.

19219035040 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 19219035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976358560).

19219035040 is an abundant number, since it is smaller than the sum of its proper divisors (28733682080).

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

19219035040 is a wasteful number, since it uses less digits than its factorization.

19219035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20934 (or 20926 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 19219035040 in words is "nineteen billion, two hundred nineteen million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 307 380 608 614 760 1228 1520 1535 2456 3040 3070 4912 5833 6140 9824 11666 12280 20593 23332 24560 29165 41186 46664 49120 58330 82372 93328 102965 116660 164744 186656 205930 233320 329488 391267 411860 466640 658976 782534 823720 933280 1565068 1647440 1956335 3130136 3294880 3912670 6260272 6322051 7825340 12520544 12644102 15650680 25288204 31301360 31610255 50576408 62602720 63220510 101152816 120118969 126441020 202305632 240237938 252882040 480475876 505764080 600594845 960951752 1011528160 1201189690 1921903504 2402379380 3843807008 4804758760 9609517520 19219035040