Search a number
-
+
11620400621250 = 23547939224981
BaseRepresentation
bin1010100100011001010111…
…0110011110011011000010
31112010220021200212200002110
42221012111312132123002
53010342040024340000
640414201030000150
72306355234355251
oct251062566363302
945126250780073
1011620400621250
113780203231173
1213781407a6056
13663a50757485
142c2604dc8798
1515241752a850
hexa9195d9e6c2

11620400621250 has 80 divisors (see below), whose sum is σ = 29409322504320. Its totient is φ = 3059548440000.

The previous prime is 11620400621239. The next prime is 11620400621273. The reversal of 11620400621250 is 5212600402611.

11620400621250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19316241 + ... + 19908740.

It is an arithmetic number, because the mean of its divisors is an integer number (367616531304).

Almost surely, 211620400621250 is an apocalyptic number.

11620400621250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11620400621250 is an abundant number, since it is smaller than the sum of its proper divisors (17788921883070).

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

11620400621250 is an equidigital number, since it uses as much as digits as its factorization.

11620400621250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39225085 (or 39225070 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11620400621250 in words is "eleven trillion, six hundred twenty billion, four hundred million, six hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 125 150 158 237 250 375 395 474 625 750 790 1185 1250 1875 1975 2370 3750 3950 5925 9875 11850 19750 29625 49375 59250 98750 148125 296250 39224981 78449962 117674943 196124905 235349886 392249810 588374715 980624525 1176749430 1961249050 2941873575 3098773499 4903122625 5883747150 6197546998 9296320497 9806245250 14709367875 15493867495 18592640994 24515613125 29418735750 30987734990 46481602485 49031226250 73546839375 77469337475 92963204970 147093678750 154938674950 232408012425 387346687375 464816024850 774693374750 1162040062125 1936733436875 2324080124250 3873466873750 5810200310625 11620400621250