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4655203968 = 27341928933
BaseRepresentation
bin1000101010111100…
…01100011010000000
3110000102120212022210
410111132030122000
534013213011333
62045533102120
7223234403142
oct42536143200
913012525283
104655203968
111a79817708
12a9b027940
135925a827c
1432238ac92
151c3a49a63
hex11578c680

4655203968 has 64 divisors (see below), whose sum is σ = 12395325600. Its totient is φ = 1547977728.

The previous prime is 4655203873. The next prime is 4655203981. The reversal of 4655203968 is 8693025564.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146430 + ... + 175362.

Almost surely, 24655203968 is an apocalyptic number.

4655203968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4655203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197662800).

4655203968 is an abundant number, since it is smaller than the sum of its proper divisors (7740121632).

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

4655203968 is a wasteful number, since it uses less digits than its factorization.

4655203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29369 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 4655203968 is about 68229.0551598071. The cubic root of 4655203968 is about 1669.7299535857.

The spelling of 4655203968 in words is "four billion, six hundred fifty-five million, two hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 419 838 1257 1676 2514 3352 5028 6704 10056 13408 20112 26816 28933 40224 53632 57866 80448 86799 115732 160896 173598 231464 347196 462928 694392 925856 1388784 1851712 2777568 3703424 5555136 11110272 12122927 24245854 36368781 48491708 72737562 96983416 145475124 193966832 290950248 387933664 581900496 775867328 1163800992 1551734656 2327601984 4655203968