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13923874560 = 28353626009
BaseRepresentation
bin11001111011110110…
…10111011100000000
31022221101020010002210
430331323113130000
5212004002441220
610221352542120
71002021660321
oct147573273400
938841203083
1013923874560
1159a5734052
1228470b1940
13140b90723b
1496133c448
155675e76e0
hex33ded7700

13923874560 has 72 divisors (see below), whose sum is σ = 44469386640. Its totient is φ = 3713032192.

The previous prime is 13923874537. The next prime is 13923874561. The reversal of 13923874560 is 6547832931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923874561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1809165 + ... + 1816844.

It is an arithmetic number, because the mean of its divisors is an integer number (617630370).

It is a 1-persistent number, because it is pandigital, but 2⋅13923874560 = 27847749120 is not.

Almost surely, 213923874560 is an apocalyptic number.

13923874560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13923874560 is an abundant number, since it is smaller than the sum of its proper divisors (30545512080).

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

13923874560 is an equidigital number, since it uses as much as digits as its factorization.

13923874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626033 (or 3626019 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 13923874560 in words is "thirteen billion, nine hundred twenty-three million, eight hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 3626009 7252018 10878027 14504036 18130045 21756054 29008072 36260090 43512108 54390135 58016144 72520180 87024216 108780270 116032288 145040360 174048432 217560540 232064576 290080720 348096864 435121080 464129152 580161440 696193728 870242160 928258304 1160322880 1392387456 1740484320 2320645760 2784774912 3480968640 4641291520 6961937280 13923874560