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4893833568 = 253137353717
BaseRepresentation
bin1001000111011000…
…11111100101100000
3110122001121111121010
410203230133211200
540010310133233
62125335500520
7232162620231
oct44354374540
913561544533
104893833568
112091494658
12b46b27740
135ccb69410
14345d47088
151d9984b63
hex123b1f960

4893833568 has 96 divisors (see below), whose sum is σ = 14024265696. Its totient is φ = 1485139968.

The previous prime is 4893833557. The next prime is 4893833573. The reversal of 4893833568 is 8653383984.

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

It is a super-2 number, since 2×48938335682 = 47899213982567221248, which contains 22 as substring.

It is a congruent number.

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, 64246 + ... + 117962.

It is an arithmetic number, because the mean of its divisors is an integer number (146086101).

Almost surely, 24893833568 is an apocalyptic number.

4893833568 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 4893833568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012132848).

4893833568 is an abundant number, since it is smaller than the sum of its proper divisors (9130432128).

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

4893833568 is a wasteful number, since it uses less digits than its factorization.

4893833568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53816 (or 53808 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The square root of 4893833568 is about 69955.9401909516. The cubic root of 4893833568 is about 1697.7864579038.

The spelling of 4893833568 in words is "four billion, eight hundred ninety-three million, eight hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 73 78 96 104 146 156 208 219 292 312 416 438 584 624 876 949 1168 1248 1752 1898 2336 2847 3504 3796 5694 7008 7592 11388 15184 22776 30368 45552 53717 91104 107434 161151 214868 322302 429736 644604 698321 859472 1289208 1396642 1718944 2094963 2578416 2793284 3921341 4189926 5156832 5586568 7842682 8379852 11173136 11764023 15685364 16759704 22346272 23528046 31370728 33519408 47056092 50977433 62741456 67038816 94112184 101954866 125482912 152932299 188224368 203909732 305864598 376448736 407819464 611729196 815638928 1223458392 1631277856 2446916784 4893833568