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14377354752 = 29377312109
BaseRepresentation
bin11010110001111010…
…10000011000000000
31101002222112021222110
431120331100120000
5213421100323002
610334352335320
71016166333105
oct153075203000
941088467873
1014377354752
116108707472
122952b44540
131481852007
149a5664aac
15592321e6c
hex358f50600

14377354752 has 80 divisors (see below), whose sum is σ = 38354888880. Its totient is φ = 4785856512.

The previous prime is 14377354723. The next prime is 14377354759. The reversal of 14377354752 is 25745377341.

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 (14377354759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181274 + ... + 1193382.

It is an arithmetic number, because the mean of its divisors is an integer number (479436111).

Almost surely, 214377354752 is an apocalyptic number.

14377354752 is a gapful number since it is divisible by the number (12) 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 14377354752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177444440).

14377354752 is an abundant number, since it is smaller than the sum of its proper divisors (23977534128).

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

14377354752 is an equidigital number, since it uses as much as digits as its factorization.

14377354752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12903 (or 12887 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 48.

The spelling of 14377354752 in words is "fourteen billion, three hundred seventy-seven million, three hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 773 1536 1546 2319 3092 4638 6184 9276 12109 12368 18552 24218 24736 36327 37104 48436 49472 72654 74208 96872 98944 145308 148416 193744 197888 290616 296832 387488 395776 581232 593664 774976 1162464 1187328 1549952 2324928 3099904 4649856 6199808 9299712 9360257 18599424 18720514 28080771 37441028 56161542 74882056 112323084 149764112 224646168 299528224 449292336 599056448 898584672 1198112896 1797169344 2396225792 3594338688 4792451584 7188677376 14377354752