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13754012640 = 253528654193
BaseRepresentation
bin11001100111100110…
…11001001111100000
31022111112121020100120
430303303121033200
5211132011401030
610152444120240
7664560115134
oct146363311740
938445536316
1013754012640
1159188662a5
1227ba236080
1313b2672a24
149469633c4
15557743010
hex333cd93e0

13754012640 has 48 divisors (see below), whose sum is σ = 43325141328. Its totient is φ = 3667736576.

The previous prime is 13754012617. The next prime is 13754012641. The reversal of 13754012640 is 4621045731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13754012641) 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, 14326617 + ... + 14327576.

It is an arithmetic number, because the mean of its divisors is an integer number (902607111).

Almost surely, 213754012640 is an apocalyptic number.

13754012640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13754012640 is an abundant number, since it is smaller than the sum of its proper divisors (29571128688).

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

13754012640 is a wasteful number, since it uses less digits than its factorization.

13754012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28654211 (or 28654203 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13754012640 in words is "thirteen billion, seven hundred fifty-four million, twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 28654193 57308386 85962579 114616772 143270965 171925158 229233544 286541930 343850316 429812895 458467088 573083860 687700632 859625790 916934176 1146167720 1375401264 1719251580 2292335440 2750802528 3438503160 4584670880 6877006320 13754012640