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14872201740 = 223251119537459
BaseRepresentation
bin11011101100111001…
…11100101000001100
31102101110200010102200
431312130330220030
5220424240423430
610455430521500
71034355425514
oct156634745014
942343603380
1014872201740
116341a74320
122a70806290
131530221796
14a11278844
155c09bd460
hex37673ca0c

14872201740 has 288 divisors, whose sum is σ = 52788153600. Its totient is φ = 3350730240.

The previous prime is 14872201691. The next prime is 14872201769. The reversal of 14872201740 is 4710227841.

14872201740 is a `hidden beast` number, since 1 + 487 + 2 + 2 + 0 + 174 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14872201695 and 14872201704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1990131 + ... + 1997589.

It is an arithmetic number, because the mean of its divisors is an integer number (183292200).

Almost surely, 214872201740 is an apocalyptic number.

14872201740 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 14872201740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26394076800).

14872201740 is an abundant number, since it is smaller than the sum of its proper divisors (37915951860).

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

14872201740 is a wasteful number, since it uses less digits than its factorization.

14872201740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7557 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

It can be divided in two parts, 14872 and 201740, that added together give a palindrome (216612).

The spelling of 14872201740 in words is "fourteen billion, eight hundred seventy-two million, two hundred one thousand, seven hundred forty".