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19028547136 = 264324012
BaseRepresentation
bin10001101110001100…
…001001011001000000
31211010010120100110001
4101232030021121000
5302432302002021
612424103445344
71242354660544
oct215614113100
954103510401
1019028547136
118085134115
123830756854
131a43354361
14cc7289a24
15765828091
hex46e309640

19028547136 has 63 divisors (see below), whose sum is σ = 38754974433. Its totient is φ = 9269836800.

The previous prime is 19028547121. The next prime is 19028547137. The reversal of 19028547136 is 63174582091.

The square root of 19028547136 is 137944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18839209536 + 189337600 = 137256^2 + 13760^2 .

It is a super-2 number, since 2×190285471362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19028547137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47452536 + ... + 47452936.

It is a 1-persistent number, because it is pandigital, but 2⋅19028547136 = 38057094272 is not.

Almost surely, 219028547136 is an apocalyptic number.

19028547136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19028547136 is the 137944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19028547136

19028547136 is an abundant number, since it is smaller than the sum of its proper divisors (19726427297).

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

19028547136 is an frugal number, since it uses more digits than its factorization.

19028547136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 19028547136 in words is "nineteen billion, twenty-eight million, five hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 401 688 802 1376 1604 1849 2752 3208 3698 6416 7396 12832 14792 17243 25664 29584 34486 59168 68972 118336 137944 160801 275888 321602 551776 643204 741449 1103552 1286408 1482898 2572816 2965796 5145632 5931592 6914443 10291264 11863184 13828886 23726368 27657772 47452736 55315544 110631088 221262176 297321049 442524352 594642098 1189284196 2378568392 4757136784 9514273568 19028547136