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14192819352 = 23368232957
BaseRepresentation
bin11010011011111010…
…10011110010011000
31100122010021221000000
431031331103302120
5213031330204402
610304201213000
71011465655035
oct151575236230
940563257000
1014192819352
116023527278
122901191160
13145255097a
14988d4a38c
1558101ec1c
hex34df53c98

14192819352 has 112 divisors (see below), whose sum is σ = 39961041840. Its totient is φ = 4723593408.

The previous prime is 14192819287. The next prime is 14192819357. The reversal of 14192819352 is 25391829141.

14192819352 is a `hidden beast` number, since 1 + 4 + 19 + 281 + 9 + 352 = 666.

It is a super-2 number, since 2×141928193522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14192819298 and 14192819307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14192819357) 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 27 ways as a sum of consecutive naturals, for example, 4798258 + ... + 4801214.

Almost surely, 214192819352 is an apocalyptic number.

14192819352 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 14192819352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980520920).

14192819352 is an abundant number, since it is smaller than the sum of its proper divisors (25768222488).

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

14192819352 is an equidigital number, since it uses as much as digits as its factorization.

14192819352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3785 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 14192819352 in words is "fourteen billion, one hundred ninety-two million, eight hundred nineteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 823 972 1458 1646 1944 2469 2916 2957 3292 4938 5832 5914 6584 7407 8871 9876 11828 14814 17742 19752 22221 23656 26613 29628 35484 44442 53226 59256 66663 70968 79839 88884 106452 133326 159678 177768 199989 212904 239517 266652 319356 399978 479034 533304 599967 638712 718551 799956 958068 1199934 1437102 1599912 1916136 2155653 2399868 2433611 2874204 4311306 4799736 4867222 5748408 7300833 8622612 9734444 14601666 17245224 19468888 21902499 29203332 43804998 58406664 65707497 87609996 131414994 175219992 197122491 262829988 394244982 525659976 591367473 788489964 1182734946 1576979928 1774102419 2365469892 3548204838 4730939784 7096409676 14192819352