Search a number
-
+
1152032511150 = 2325223451924631
BaseRepresentation
bin10000110000111010011…
…111010001010010101110
311002010121010102012111100
4100300322133101102232
5122333330310324100
62241123022503530
7146142303526533
oct20607237212256
94063533365440
101152032511150
11404635356824
12167331434ba6
1384836966301
143da89b16d8a
151ee789cb400
hex10c3a7d14ae

1152032511150 has 144 divisors (see below), whose sum is σ = 3230543946240. Its totient is φ = 293774817600.

The previous prime is 1152032511143. The next prime is 1152032511193. The reversal of 1152032511150 is 511152302511.

It is a happy number.

1152032511150 is a `hidden beast` number, since 1 + 1 + 520 + 3 + 25 + 1 + 115 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46759335 + ... + 46783965.

It is an arithmetic number, because the mean of its divisors is an integer number (22434332960).

Almost surely, 21152032511150 is an apocalyptic number.

1152032511150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152032511150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615271973120).

1152032511150 is an abundant number, since it is smaller than the sum of its proper divisors (2078511435090).

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

1152032511150 is a wasteful number, since it uses less digits than its factorization.

1152032511150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29191 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 1152032511150 its reverse (511152302511), we get a palindrome (1663184813661).

The spelling of 1152032511150 in words is "one trillion, one hundred fifty-two billion, thirty-two million, five hundred eleven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 4519 5175 9038 10350 13557 22595 24631 27114 40671 45190 49262 67785 73893 81342 103937 112975 123155 135570 147786 203355 207874 221679 225950 246310 311811 338925 369465 406710 443358 519685 566513 615775 623622 677850 738930 935433 1016775 1039370 1108395 1133026 1231550 1559055 1699539 1847325 1870866 2033550 2216790 2598425 2832565 3118110 3399078 3694650 4677165 5098617 5196850 5541975 5665130 7795275 8497695 9354330 10197234 11083950 14162825 15590550 16995390 23385825 25493085 28325650 42488475 46771650 50986170 84976950 111307489 127465425 222614978 254930850 333922467 556537445 667844934 1001767401 1113074890 1669612335 2003534802 2560072247 2782687225 3339224670 5008837005 5120144494 5565374450 7680216741 8348061675 10017674010 12800361235 15360433482 16696123350 23040650223 25044185025 25600722470 38401083705 46081300446 50088370050 64001806175 76802167410 115203251115 128003612350 192005418525 230406502230 384010837050 576016255575 1152032511150