Search a number
-
+
4761305568 = 253216532311
BaseRepresentation
bin1000110111100101…
…11100000111100000
3110021211020101100200
410123302330013200
534222343234233
62104243145200
7225663300225
oct43362740740
913254211320
104761305568
1120236a6388
12b0a675200
135ab577096
143324c994c
151cd007313
hex11bcbc1e0

4761305568 has 36 divisors (see below), whose sum is σ = 13539963528. Its totient is φ = 1587101760.

The previous prime is 4761305567. The next prime is 4761305569. The reversal of 4761305568 is 8655031674.

4761305568 is a `hidden beast` number, since 4 + 7 + 61 + 30 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4761305567) and next prime (4761305569).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761305567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8265868 + ... + 8266443.

It is an arithmetic number, because the mean of its divisors is an integer number (376110098).

Almost surely, 24761305568 is an apocalyptic number.

4761305568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4761305568 is an abundant number, since it is smaller than the sum of its proper divisors (8778657960).

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

4761305568 is a wasteful number, since it uses less digits than its factorization.

4761305568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16532327 (or 16532316 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4761305568 is about 69002.2142253421. The cubic root of 4761305568 is about 1682.3202972953.

The spelling of 4761305568 in words is "four billion, seven hundred sixty-one million, three hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16532311 33064622 49596933 66129244 99193866 132258488 148790799 198387732 264516976 297581598 396775464 529033952 595163196 793550928 1190326392 1587101856 2380652784 4761305568