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15228891648 = 293640801
BaseRepresentation
bin11100010111011011…
…00111001000000000
31110022022211212000000
432023231213020000
5222142044013043
610555052000000
71046246305005
oct161355471000
943268755000
1015228891648
116505348773
122b50160000
1315890aa9b9
14a467a78ac
155e1e792d3
hex38bb67200

15228891648 has 140 divisors (see below), whose sum is σ = 45622307478. Its totient is φ = 5076172800.

The previous prime is 15228891631. The next prime is 15228891659. The reversal of 15228891648 is 84619882251.

It can be written as a sum of positive squares in only one way, i.e., 9114902784 + 6113988864 = 95472^2 + 78192^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 15228891594 and 15228891603.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 352848 + ... + 393648.

Almost surely, 215228891648 is an apocalyptic number.

15228891648 is a gapful number since it is divisible by the number (18) 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 15228891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811153739).

15228891648 is an abundant number, since it is smaller than the sum of its proper divisors (30393415830).

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

15228891648 is an frugal number, since it uses more digits than its factorization.

15228891648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40837 (or 40806 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 15228891648 in words is "fifteen billion, two hundred twenty-eight million, eight hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 31104 40801 41472 46656 62208 81602 93312 122403 124416 163204 186624 244806 326408 367209 373248 489612 652816 734418 979224 1101627 1305632 1468836 1958448 2203254 2611264 2937672 3304881 3916896 4406508 5222528 5875344 6609762 7833792 8813016 9914643 10445056 11750688 13219524 15667584 17626032 19829286 20890112 23501376 26439048 29743929 31335168 35252064 39658572 47002752 52878096 59487858 62670336 70504128 79317144 94005504 105756192 118975716 141008256 158634288 188011008 211512384 237951432 282016512 317268576 423024768 475902864 564033024 634537152 846049536 951805728 1269074304 1692099072 1903611456 2538148608 3807222912 5076297216 7614445824 15228891648