Search a number
-
+
115015606000 = 24533132587
BaseRepresentation
bin110101100011101110…
…1101101111011110000
3101222212122011011100021
41223013131231323300
53341022443343000
6124500515333224
711211123343321
oct1530735557360
9358778134307
10115015606000
1144861347139
121a35a5b1214
13aacc660bc9
1457d1388448
152ed25d311a
hex1ac776def0

115015606000 has 120 divisors (see below), whose sum is σ = 279474393744. Its totient is φ = 45781132800.

The previous prime is 115015605979. The next prime is 115015606001. The reversal of 115015606000 is 606510511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115015606001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195937707 + ... + 195938293.

Almost surely, 2115015606000 is an apocalyptic number.

115015606000 is a gapful number since it is divisible by the number (10) 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 115015606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139737196872).

115015606000 is an abundant number, since it is smaller than the sum of its proper divisors (164458787744).

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

115015606000 is an frugal number, since it uses more digits than its factorization.

115015606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 115015606000 in words is "one hundred fifteen billion, fifteen million, six hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 313 400 500 587 626 1000 1174 1252 1565 2000 2348 2504 2935 3130 4696 5008 5870 6260 7825 9392 11740 12520 14675 15650 23480 25040 29350 31300 39125 46960 58700 62600 73375 78250 97969 117400 125200 146750 156500 183731 195938 234800 293500 313000 367462 391876 489845 587000 626000 734924 783752 918655 979690 1174000 1469848 1567504 1837310 1959380 2449225 2939696 3674620 3918760 4593275 4898450 7349240 7837520 9186550 9796900 12246125 14698480 18373100 19593800 22966375 24492250 36746200 39187600 45932750 48984500 57507803 73492400 91865500 97969000 115015606 183731000 195938000 230031212 287539015 367462000 460062424 575078030 920124848 1150156060 1437695075 2300312120 2875390150 4600624240 5750780300 7188475375 11501560600 14376950750 23003121200 28753901500 57507803000 115015606000