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14998663680 = 2935711131951
BaseRepresentation
bin11011111011111110…
…10111001000000000
31102201021122001121020
431331333113020000
5221204124214210
610520145225440
71040452352310
oct157577271000
942637561536
1014998663680
1163a739a020
122aa7032280
13155049ba30
14a23d97440
155cbb4d770
hex37dfd7200

14998663680 has 640 divisors, whose sum is σ = 64411877376. Its totient is φ = 2875392000.

The previous prime is 14998663649. The next prime is 14998663723. The reversal of 14998663680 is 8636689941.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×149986636802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7686705 + ... + 7688655.

Almost surely, 214998663680 is an apocalyptic number.

14998663680 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 14998663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32205938688).

14998663680 is an abundant number, since it is smaller than the sum of its proper divisors (49413213696).

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

14998663680 is a wasteful number, since it uses less digits than its factorization.

14998663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 14998663680 in words is "fourteen billion, nine hundred ninety-eight million, six hundred sixty-three thousand, six hundred eighty".