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13858737500 = 22552938231
BaseRepresentation
bin11001110100000101…
…11000110101011100
31022202211122210212002
430322002320311130
5211340314100000
610211104501432
71000301216336
oct147202706534
938684583762
1013858737500
115971994673
12282931a878
1313cb27bcba
14956824456
15561a2c8d5
hex33a0b8d5c

13858737500 has 72 divisors (see below), whose sum is σ = 31360180320. Its totient is φ = 5352200000.

The previous prime is 13858737499. The next prime is 13858737511. The reversal of 13858737500 is 573785831.

13858737500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343385 + ... + 381615.

It is an arithmetic number, because the mean of its divisors is an integer number (435558060).

Almost surely, 213858737500 is an apocalyptic number.

13858737500 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 13858737500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680090160).

13858737500 is an abundant number, since it is smaller than the sum of its proper divisors (17501442820).

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

13858737500 is an equidigital number, since it uses as much as digits as its factorization.

13858737500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38289 (or 38267 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 13858737500 in words is "thirteen billion, eight hundred fifty-eight million, seven hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 625 725 1250 1450 2500 2900 3125 3625 6250 7250 12500 14500 18125 36250 38231 72500 76462 90625 152924 181250 191155 362500 382310 764620 955775 1108699 1911550 2217398 3823100 4434796 4778875 5543495 9557750 11086990 19115500 22173980 23894375 27717475 47788750 55434950 95577500 110869900 119471875 138587375 238943750 277174750 477887500 554349500 692936875 1385873750 2771747500 3464684375 6929368750 13858737500