Search a number
-
+
17819474712 = 23313531736229
BaseRepresentation
bin10000100110000111…
…111001101100011000
31200222212111002212220
4100212013321230120
5242443241142322
612104113104040
71200404015214
oct204607715430
950885432786
1017819474712
1176146a1106
123553858020
1318aca045a0
14c10877944
156e45e955c
hex4261f9b18

17819474712 has 128 divisors (see below), whose sum is σ = 49171147200. Its totient is φ = 5347510272.

The previous prime is 17819474711. The next prime is 17819474719. The reversal of 17819474712 is 21747491871.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17819474711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857614 + ... + 2863842.

Almost surely, 217819474712 is an apocalyptic number.

17819474712 is a gapful number since it is divisible by the number (12) 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 17819474712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24585573600).

17819474712 is an abundant number, since it is smaller than the sum of its proper divisors (31351672488).

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

17819474712 is a wasteful number, since it uses less digits than its factorization.

17819474712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6473 counting only the distinct ones).

The product of its digits is 790272, while the sum is 51.

The spelling of 17819474712 in words is "seventeen billion, eight hundred nineteen million, four hundred seventy-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 173 212 312 318 346 424 519 636 689 692 1038 1272 1378 1384 2067 2076 2249 2756 4134 4152 4498 5512 6229 6747 8268 8996 9169 12458 13494 16536 17992 18338 18687 24916 26988 27507 36676 37374 49832 53976 55014 73352 74748 80977 110028 119197 149496 161954 220056 238394 242931 323908 330137 357591 476788 485862 647816 660274 715182 953576 971724 990411 1077617 1320548 1430364 1943448 1980822 2155234 2641096 2860728 3232851 3961644 4291781 4310468 6465702 7923288 8583562 8620936 12875343 12931404 14009021 17167124 25750686 25862808 28018042 34334248 42027063 51501372 56036084 57113701 84054126 103002744 112072168 114227402 168108252 171341103 228454804 336216504 342682206 456909608 685364412 742478113 1370728824 1484956226 2227434339 2969912452 4454868678 5939824904 8909737356 17819474712