Search a number
-
+
14758016608 = 251723251283
BaseRepresentation
bin11011011111010010…
…10111011001100000
31102002111210220212201
431233221113121200
5220211023012413
610440231302544
71031501033326
oct155751273140
942074726781
1014758016608
116293574345
122a3a51aa54
13151268250a
14a00033d16
155b59659dd
hex36fa57660

14758016608 has 72 divisors (see below), whose sum is σ = 32160298968. Its totient is φ = 6642865152.

The previous prime is 14758016593. The next prime is 14758016641. The reversal of 14758016608 is 80661085741.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 262135 + ... + 313417.

It is an arithmetic number, because the mean of its divisors is an integer number (446670819).

Almost surely, 214758016608 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 14758016608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16080149484).

14758016608 is an abundant number, since it is smaller than the sum of its proper divisors (17402282360).

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

14758016608 is a wasteful number, since it uses less digits than its factorization.

14758016608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51356 (or 51325 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 14758016608 in words is "fourteen billion, seven hundred fifty-eight million, sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 529 544 736 782 1058 1564 2116 3128 4232 6256 8464 8993 12512 16928 17986 35972 51283 71944 102566 143888 205132 287776 410264 820528 871811 1179509 1641056 1743622 2359018 3487244 4718036 6974488 9436072 13948976 18872144 20051653 27128707 27897952 37744288 40103306 54257414 80206612 108514828 160413224 217029656 320826448 434059312 461188019 641652896 868118624 922376038 1844752076 3689504152 7379008304 14758016608