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13419202500 = 2233541123153
BaseRepresentation
bin11000111111101100…
…01100011111000100
31021122012121010012000
430133312030133010
5204440303440000
610055324025300
7653353224234
oct143766143704
937565533160
1013419202500
115766876500
122726092230
13135b1a7712
149142cbcc4
1553815a000
hex31fd8c7c4

13419202500 has 720 divisors, whose sum is σ = 50257912320. Its totient is φ = 3088800000.

The previous prime is 13419202499. The next prime is 13419202507. The reversal of 13419202500 is 520291431.

13419202500 is a `hidden beast` number, since 134 + 1 + 9 + 20 + 2 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13419202507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 253192474 + ... + 253192526.

It is an arithmetic number, because the mean of its divisors is an integer number (69802656).

Almost surely, 213419202500 is an apocalyptic number.

13419202500 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 13419202500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25128956160).

13419202500 is an abundant number, since it is smaller than the sum of its proper divisors (36838709820).

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

13419202500 is a wasteful number, since it uses less digits than its factorization.

13419202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13419202500 its reverse (520291431), we get a palindrome (13939493931).

The spelling of 13419202500 in words is "thirteen billion, four hundred nineteen million, two hundred two thousand, five hundred".