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14992348448 = 2571113146447
BaseRepresentation
bin11011111011001110…
…10001010100100000
31102200211202012201202
431331213101110200
5221201020122243
610515402020332
71040344600460
oct157547212440
942624665652
1014992348448
1163a3876320
122aa4aa76a8
13154c09a3cc
14a231d1ba0
155cb3024b8
hex37d9d1520

14992348448 has 96 divisors (see below), whose sum is σ = 37081110528. Its totient is φ = 5796460800.

The previous prime is 14992348409. The next prime is 14992348471. The reversal of 14992348448 is 84484329941.

It is a happy number.

14992348448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 14992348393 and 14992348402.

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 15 ways as a sum of consecutive naturals, for example, 299561 + ... + 346007.

It is an arithmetic number, because the mean of its divisors is an integer number (386261568).

Almost surely, 214992348448 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 14992348448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540555264).

14992348448 is an abundant number, since it is smaller than the sum of its proper divisors (22088762080).

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

14992348448 is a wasteful number, since it uses less digits than its factorization.

14992348448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46606 (or 46598 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 56.

The spelling of 14992348448 in words is "fourteen billion, nine hundred ninety-two million, three hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 131 154 176 224 262 308 352 524 616 917 1048 1232 1441 1834 2096 2464 2882 3668 4192 5764 7336 10087 11528 14672 20174 23056 29344 40348 46112 46447 80696 92894 161392 185788 322784 325129 371576 510917 650258 743152 1021834 1300516 1486304 2043668 2601032 3576419 4087336 5202064 6084557 7152838 8174672 10404128 12169114 14305676 16349344 24338228 28611352 42591899 48676456 57222704 66930127 85183798 97352912 114445408 133860254 170367596 194705824 267720508 340735192 468510889 535441016 681470384 937021778 1070882032 1362940768 1874043556 2141764064 3748087112 7496174224 14992348448