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13948800153 = 37336343247
BaseRepresentation
bin11001111110110100…
…11100110010011001
31100000010010110120220
430333122130302121
5212031343101103
610224043110253
71002443562561
oct147732346231
940003113526
1013948800153
115a08809012
122853512389
131413b23602
14964789da1
155698bcc53
hex33f69cc99

13948800153 has 8 divisors (see below), whose sum is σ = 18623776128. Its totient is φ = 9286512144.

The previous prime is 13948800137. The next prime is 13948800157. The reversal of 13948800153 is 35100884931.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13948800153 - 24 = 13948800137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13948800157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3169425 + ... + 3173822.

It is an arithmetic number, because the mean of its divisors is an integer number (2327972016).

Almost surely, 213948800153 is an apocalyptic number.

It is an amenable number.

13948800153 is a deficient number, since it is larger than the sum of its proper divisors (4674975975).

13948800153 is an equidigital number, since it uses as much as digits as its factorization.

13948800153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343983.

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 13948800153 in words is "thirteen billion, nine hundred forty-eight million, eight hundred thousand, one hundred fifty-three".

Divisors: 1 3 733 2199 6343247 19029741 4649600051 13948800153