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14700559104 = 2837711231
BaseRepresentation
bin11011011000011100…
…01011101100000000
31101221111200210000000
431230032023230000
5220101320342404
610430420000000
71030202455620
oct155416135400
941844623000
1014700559104
11626409a700
122a23230000
1315037b58aa
149d6558880
155b08b6339
hex36c38bb00

14700559104 has 864 divisors, whose sum is σ = 57067171840. Its totient is φ = 3695155200.

The previous prime is 14700559079. The next prime is 14700559109. The reversal of 14700559104 is 40195500741.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×147005591042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14700559109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474211569 + ... + 474211599.

Almost surely, 214700559104 is an apocalyptic number.

14700559104 is a gapful number since it is divisible by the number (14) 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 14700559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28533585920).

14700559104 is an abundant number, since it is smaller than the sum of its proper divisors (42366612736).

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

14700559104 is an frugal number, since it uses more digits than its factorization.

14700559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 14700559104 in words is "fourteen billion, seven hundred million, five hundred fifty-nine thousand, one hundred four".