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14907497472 = 2103371723197
BaseRepresentation
bin11011110001000111…
…00101110000000000
31102110221002100002000
431320203211300000
5221012304404342
610503131224000
71035264431520
oct157043456000
942427070060
1014907497472
11635a99154a
122a805a8000
13153762c02a
14a15c25680
155c3b4144c
hex3788e5c00

14907497472 has 704 divisors, whose sum is σ = 56029501440. Its totient is φ = 3814981632.

The previous prime is 14907497471. The next prime is 14907497503. The reversal of 14907497472 is 27479470941.

It is a happy number.

14907497472 is a `hidden beast` number, since 14 + 9 + 0 + 74 + 97 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14907497471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75672478 + ... + 75672674.

It is an arithmetic number, because the mean of its divisors is an integer number (79587360).

Almost surely, 214907497472 is an apocalyptic number.

14907497472 is a gapful number since it is divisible by the number (12) 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 14907497472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28014750720).

14907497472 is an abundant number, since it is smaller than the sum of its proper divisors (41122003968).

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

14907497472 is a wasteful number, since it uses less digits than its factorization.

14907497472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 14907497472 in words is "fourteen billion, nine hundred seven million, four hundred ninety-seven thousand, four hundred seventy-two".