Search a number
-
+
16756406304 = 2531133147939
BaseRepresentation
bin11111001101100001…
…00111100000100000
31121020210010122011220
433212300213200200
5233304120000204
611410415535040
71132145050341
oct174660474040
947223118156
1016756406304
117119611080
1232b782a480
1317706b4921
14b4d5d00c8
1568110b1d9
hex3e6c27820

16756406304 has 96 divisors (see below), whose sum is σ = 48130225920. Its totient is φ = 5062252800.

The previous prime is 16756406297. The next prime is 16756406321. The reversal of 16756406304 is 40360465761.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325567 + ... + 373505.

It is an arithmetic number, because the mean of its divisors is an integer number (501356520).

Almost surely, 216756406304 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 16756406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24065112960).

16756406304 is an abundant number, since it is smaller than the sum of its proper divisors (31373819616).

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

16756406304 is a wasteful number, since it uses less digits than its factorization.

16756406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48294 (or 48286 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 16756406304 in words is "sixteen billion, seven hundred fifty-six million, four hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 331 352 528 662 993 1056 1324 1986 2648 3641 3972 5296 7282 7944 10592 10923 14564 15888 21846 29128 31776 43692 47939 58256 87384 95878 116512 143817 174768 191756 287634 349536 383512 527329 575268 767024 1054658 1150536 1534048 1581987 2109316 2301072 3163974 4218632 4602144 6327948 8437264 12655896 15867809 16874528 25311792 31735618 47603427 50623584 63471236 95206854 126942472 174545899 190413708 253884944 349091798 380827416 507769888 523637697 698183596 761654832 1047275394 1396367192 1523309664 2094550788 2792734384 4189101576 5585468768 8378203152 16756406304