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14920463960 = 2354725730881
BaseRepresentation
bin11011110010101010…
…00011011001011000
31102111211111002202022
431321111003121120
5221024114321320
610504313154012
71035512564633
oct157125033130
942454432668
1014920463960
116367238456
122a849bb908
13153a21bbcc
14a1783cc1a
155c4d53325
hex379543658

14920463960 has 64 divisors (see below), whose sum is σ = 34419841920. Its totient is φ = 5818286080.

The previous prime is 14920463951. The next prime is 14920463969. The reversal of 14920463960 is 6936402941.

It is a happy number.

14920463960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14920463951) and next prime (14920463969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14920463969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 467720 + ... + 498600.

It is an arithmetic number, because the mean of its divisors is an integer number (537810030).

Almost surely, 214920463960 is an apocalyptic number.

14920463960 is a gapful number since it is divisible by the number (10) 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 14920463960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209920960).

14920463960 is an abundant number, since it is smaller than the sum of its proper divisors (19499377960).

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

14920463960 is a wasteful number, since it uses less digits than its factorization.

14920463960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31196 (or 31192 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 14920463960 in words is "fourteen billion, nine hundred twenty million, four hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 257 376 470 514 940 1028 1285 1880 2056 2570 5140 10280 12079 24158 30881 48316 60395 61762 96632 120790 123524 154405 241580 247048 308810 483160 617620 1235240 1451407 2902814 5805628 7257035 7936417 11611256 14514070 15872834 29028140 31745668 39682085 58056280 63491336 79364170 158728340 317456680 373011599 746023198 1492046396 1865057995 2984092792 3730115990 7460231980 14920463960