Search a number
-
+
19012662272 = 2101973072
BaseRepresentation
bin10001101101001111…
…100011010000000000
31211002000200022111202
4101231033203100000
5302414220143042
612422335200332
71242102651152
oct215517432000
954060608452
1019012662272
11807717462a
1238273760a8
131a3cc82026
14cc5112ad2
1576423b632
hex46d3e3400

19012662272 has 66 divisors (see below), whose sum is σ = 38324519442. Its totient is φ = 9427267584.

The previous prime is 19012662257. The next prime is 19012662287. The reversal of 19012662272 is 27226621091.

It is an interprime number because it is at equal distance from previous prime (19012662257) and next prime (19012662287).

It can be written as a sum of positive squares in only one way, i.e., 18916151296 + 96510976 = 137536^2 + 9824^2 .

It is a super-2 number, since 2×190126622722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61930343 + ... + 61930649.

It is an arithmetic number, because the mean of its divisors is an integer number (580674537).

Almost surely, 219012662272 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 19012662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162259721).

19012662272 is an abundant number, since it is smaller than the sum of its proper divisors (19311857170).

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

19012662272 is an frugal number, since it uses more digits than its factorization.

19012662272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 19012662272 in words is "nineteen billion, twelve million, six hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 197 256 307 394 512 614 788 1024 1228 1576 2456 3152 4912 6304 9824 12608 19648 25216 39296 50432 60479 78592 94249 100864 120958 157184 188498 201728 241916 314368 376996 483832 753992 967664 1507984 1935328 3015968 3870656 6031936 7741312 12063872 15482624 18567053 24127744 30965248 37134106 48255488 61930496 74268212 96510976 148536424 297072848 594145696 1188291392 2376582784 4753165568 9506331136 19012662272