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14187487048 = 23735938719
BaseRepresentation
bin11010011011010001…
…11101111101001000
31100121202021000110021
431031220331331020
5213023444041143
610303451030224
71011402436000
oct151550757510
940552230407
1014187487048
116020515009
1228bb43b374
131451404867
1498835d000
15580819ced
hex34da3df48

14187487048 has 64 divisors (see below), whose sum is σ = 31078080000. Its totient is φ = 6069401856.

The previous prime is 14187487033. The next prime is 14187487073. The reversal of 14187487048 is 84078478141.

It is a junction number, because it is equal to n+sod(n) for n = 14187486986 and 14187487004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1622833 + ... + 1631551.

It is an arithmetic number, because the mean of its divisors is an integer number (485595000).

Almost surely, 214187487048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14187487048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539040000).

14187487048 is an abundant number, since it is smaller than the sum of its proper divisors (16890592952).

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

14187487048 is an equidigital number, since it uses as much as digits as its factorization.

14187487048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 52.

The spelling of 14187487048 in words is "fourteen billion, one hundred eighty-seven million, four hundred eighty-seven thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 593 686 1186 1372 2372 2744 4151 4744 8302 8719 16604 17438 29057 33208 34876 58114 61033 69752 116228 122066 203399 232456 244132 406798 427231 488264 813596 854462 1627192 1708924 2990617 3417848 5170367 5981234 10340734 11962468 20681468 23924936 36192569 41362936 72385138 144770276 253347983 289540552 506695966 1013391932 1773435881 2026783864 3546871762 7093743524 14187487048