Search a number
-
+
19150216944 = 2432353509643
BaseRepresentation
bin10001110101011100…
…010001111011110000
31211102121111211001020
4101311130101323300
5303204423420234
612444131335440
71245363105165
oct216534217360
954377454036
1019150216944
118137886481
123865451580
131a62614321
14cd94bc06c
1577135d549
hex475711ef0

19150216944 has 160 divisors (see below), whose sum is σ = 52781621760. Its totient is φ = 5969593344.

The previous prime is 19150216937. The next prime is 19150216951. The reversal of 19150216944 is 44961205191.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19150216937) and next prime (19150216951).

It is a junction number, because it is equal to n+sod(n) for n = 19150216896 and 19150216905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29782287 + ... + 29782929.

It is an arithmetic number, because the mean of its divisors is an integer number (329885136).

Almost surely, 219150216944 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 19150216944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390810880).

19150216944 is an abundant number, since it is smaller than the sum of its proper divisors (33631404816).

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

19150216944 is a wasteful number, since it uses less digits than its factorization.

19150216944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 19150216944 in words is "nineteen billion, one hundred fifty million, two hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 53 69 92 106 138 159 184 212 276 318 368 424 509 552 636 643 848 1018 1104 1219 1272 1286 1527 1929 2036 2438 2544 2572 3054 3657 3858 4072 4876 5144 6108 7314 7716 8144 9752 10288 11707 12216 14628 14789 15432 19504 23414 24432 26977 29256 29578 30864 34079 35121 44367 46828 53954 58512 59156 68158 70242 80931 88734 93656 102237 107908 118312 136316 140484 161862 177468 187312 204474 215816 236624 272632 280968 323724 327287 354936 408948 431632 545264 561936 620471 647448 654574 709872 783817 817896 981861 1240942 1294896 1309148 1567634 1635792 1861413 1963722 2351451 2481884 2618296 3135268 3722826 3927444 4702902 4963768 5236592 6270536 7445652 7527601 7854888 9405804 9927536 12541072 14891304 15055202 15709776 17346211 18811608 22582803 29782608 30110404 34692422 37623216 45165606 52038633 60220808 69384844 90331212 104077266 120441616 138769688 180662424 208154532 277539376 361324848 398962853 416309064 797925706 832618128 1196888559 1595851412 2393777118 3191702824 4787554236 6383405648 9575108472 19150216944