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14978727040 = 27547497963
BaseRepresentation
bin11011111001100110…
…10011110010000000
31102122220010011200011
431330303103302000
5221134023231130
610514154034304
71040121036064
oct157463236200
942586104604
1014978727040
116397112362
122aa0418994
13154930b3c4
14a21487aa4
155ca01152a
hex37ccd3c80

14978727040 has 64 divisors (see below), whose sum is σ = 36570476160. Its totient is φ = 5864000512.

The previous prime is 14978727031. The next prime is 14978727059. The reversal of 14978727040 is 4072787941.

It is a happy number.

14978727040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218902 + ... + 279061.

It is an arithmetic number, because the mean of its divisors is an integer number (571413690).

Almost surely, 214978727040 is an apocalyptic number.

14978727040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14978727040 is an abundant number, since it is smaller than the sum of its proper divisors (21591749120).

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

14978727040 is an equidigital number, since it uses as much as digits as its factorization.

14978727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498029 (or 498017 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 14978727040 in words is "fourteen billion, nine hundred seventy-eight million, seven hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3760 6016 7520 15040 30080 497963 995926 1991852 2489815 3983704 4979630 7967408 9959260 15934816 19918520 23404261 31869632 39837040 46808522 63739264 79674080 93617044 117021305 159348160 187234088 234042610 318696320 374468176 468085220 748936352 936170440 1497872704 1872340880 2995745408 3744681760 7489363520 14978727040