Search a number
-
+
1993470941160 = 2336568363201
BaseRepresentation
bin11101000000100100001…
…000001001011111101000
321001120111102021022000000
4131000210020021133220
5230130112030104120
64123442104343000
7264011032264056
oct35004410113750
97046442238000
101993470941160
116a9476416296
12282421474a60
13115ca29aaa4a
146c6ad6c31d6
1536cc4bdb990
hex1d0242097e8

1993470941160 has 112 divisors (see below), whose sum is σ = 6724888180740. Its totient is φ = 531592243200.

The previous prime is 1993470941159. The next prime is 1993470941167. The reversal of 1993470941160 is 611490743991.

1993470941160 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 470 + 9 + 4 + 1 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1992959005284 + 511935876 = 1411722^2 + 22626^2 .

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 = 1993470941097 and 1993470941106.

It is not an unprimeable number, because it can be changed into a prime (1993470941167) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 34152441 + ... + 34210760.

Almost surely, 21993470941160 is an apocalyptic number.

1993470941160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1993470941160 is an abundant number, since it is smaller than the sum of its proper divisors (4731417239580).

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

1993470941160 is an equidigital number, since it uses as much as digits as its factorization.

1993470941160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68363230 (or 68363211 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1993470941160 in words is "one trillion, nine hundred ninety-three billion, four hundred seventy million, nine hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160 68363201 136726402 205089603 273452804 341816005 410179206 546905608 615268809 683632010 820358412 1025448015 1230537618 1367264020 1640716824 1845806427 2050896030 2461075236 2734528040 3076344045 3691612854 4101792060 4922150472 5537419281 6152688090 7383225708 8203584120 9229032135 11074838562 12305376180 14766451416 16612257843 18458064270 22149677124 24610752360 27687096405 33224515686 36916128540 44299354248 49836773529 55374192810 66449031372 73832257080 83061289215 99673547058 110748385620 132898062744 166122578430 199347094116 221496771240 249183867645 332245156860 398694188232 498367735290 664490313720 996735470580 1993470941160