Search a number
-
+
2195913412752 = 243673112195527
BaseRepresentation
bin11111111101000110101…
…000111001000010010000
321202221000222111101122020
4133331012220321002100
5241434212313202002
64400442205211440
7314435532015363
oct37750650710220
97687028441566
102195913412752
11777310968554
122b56bab60b80
1312c0c6036387
14783d5d1c0da
153c1c27c62bc
hex1ff46a39090

2195913412752 has 80 divisors (see below), whose sum is σ = 5775959933952. Its totient is φ = 718727391360.

The previous prime is 2195913412751. The next prime is 2195913412753. The reversal of 2195913412752 is 2572143195912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2195913412751) and next prime (2195913412753).

It is a junction number, because it is equal to n+sod(n) for n = 2195913412695 and 2195913412704.

It is not an unprimeable number, because it can be changed into a prime (2195913412751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97588 + ... + 2097939.

Almost surely, 22195913412752 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 2195913412752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887979966976).

2195913412752 is an abundant number, since it is smaller than the sum of its proper divisors (3580046521200).

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

2195913412752 is a wasteful number, since it uses less digits than its factorization.

2195913412752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195916 (or 2195910 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The spelling of 2195913412752 in words is "two trillion, one hundred ninety-five billion, nine hundred thirteen million, four hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 311 402 536 622 804 933 1072 1244 1608 1866 2488 3216 3732 4976 7464 14928 20837 41674 62511 83348 125022 166696 250044 333392 500088 1000176 2195527 4391054 6586581 8782108 13173162 17564216 26346324 35128432 52692648 105385296 147100309 294200618 441300927 588401236 682808897 882601854 1176802472 1365617794 1765203708 2048426691 2353604944 2731235588 3530407416 4096853382 5462471176 7060814832 8193706764 10924942352 16387413528 32774827056 45748196099 91496392198 137244588297 182992784396 274489176594 365985568792 548978353188 731971137584 1097956706376 2195913412752