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13746984320 = 27521479663
BaseRepresentation
bin11001100110110001…
…00101010110000000
31022111001101011022102
430303120211112000
5211123211444240
610152033325532
7664443303326
oct146330452600
938431334272
1013746984320
1159148a5873
1227b7a068a8
1313b1081964
14945a53d16
15556d05815
hex333625580

13746984320 has 32 divisors (see below), whose sum is σ = 32863885920. Its totient is φ = 5498793472.

The previous prime is 13746984319. The next prime is 13746984331. The reversal of 13746984320 is 2348964731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×137469843204 (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10739192 + ... + 10740471.

It is an arithmetic number, because the mean of its divisors is an integer number (1026996435).

Almost surely, 213746984320 is an apocalyptic number.

13746984320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13746984320 is an abundant number, since it is smaller than the sum of its proper divisors (19116901600).

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

13746984320 is an equidigital number, since it uses as much as digits as its factorization.

13746984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21479682 (or 21479670 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 13746984320 in words is "thirteen billion, seven hundred forty-six million, nine hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 21479663 42959326 85918652 107398315 171837304 214796630 343674608 429593260 687349216 859186520 1374698432 1718373040 2749396864 3436746080 6873492160 13746984320