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6442959152 = 2473131931
BaseRepresentation
bin1100000000000011…
…11100000100110000
3121122000120020101202
412000001330010300
5101143344143102
62543154550332
7315443151320
oct60001740460
917560506352
106442959152
112806978633
1212b98983a8
137b8a9ba86
14451997280
1527a984e02
hex18007c130

6442959152 has 80 divisors (see below), whose sum is σ = 14749722624. Its totient is φ = 2670811200.

The previous prime is 6442959119. The next prime is 6442959167. The reversal of 6442959152 is 2519592446.

It is a junction number, because it is equal to n+sod(n) for n = 6442959097 and 6442959106.

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, 3335627 + ... + 3337557.

Almost surely, 26442959152 is an apocalyptic number.

6442959152 is a gapful number since it is divisible by the number (62) 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 6442959152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374861312).

6442959152 is an abundant number, since it is smaller than the sum of its proper divisors (8306763472).

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

6442959152 is an equidigital number, since it uses as much as digits as its factorization.

6442959152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 1971 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The square root of 6442959152 is about 80268.0456470693. The cubic root of 6442959152 is about 1860.7804132515.

The spelling of 6442959152 in words is "six billion, four hundred forty-two million, nine hundred fifty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 961 1736 1922 1931 3472 3844 3862 6727 7688 7724 13454 13517 15376 15448 26908 27034 29791 30896 53816 54068 59582 59861 107632 108136 119164 119722 208537 216272 238328 239444 417074 419027 476656 478888 834148 838054 957776 1668296 1676108 1855691 3336592 3352216 3711382 6704432 7422764 12989837 14845528 25979674 29691056 51959348 57526421 103918696 115052842 207837392 230105684 402684947 460211368 805369894 920422736 1610739788 3221479576 6442959152