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6432257104 = 247137955921
BaseRepresentation
bin1011111110110010…
…00111010001010000
3121121021102111221121
411333121013101100
5101133124211404
62542133332024
7315253166110
oct57731072120
917537374847
106432257104
112800928a69
1212b6197014
137b67c27c0
144503ad040
15279a6de54
hex17f647450

6432257104 has 80 divisors (see below), whose sum is σ = 15532894720. Its totient is φ = 2512373760.

The previous prime is 6432257099. The next prime is 6432257107. The reversal of 6432257104 is 4017522346.

It is a self number, because there is not a number n which added to its sum of digits gives 6432257104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6432257107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87064 + ... + 142984.

It is an arithmetic number, because the mean of its divisors is an integer number (194161184).

Almost surely, 26432257104 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 6432257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766447360).

6432257104 is an abundant number, since it is smaller than the sum of its proper divisors (9100637616).

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

6432257104 is a wasteful number, since it uses less digits than its factorization.

6432257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56028 (or 56022 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 6432257104 is about 80201.3535047882. The cubic root of 6432257104 is about 1859.7495619959.

The spelling of 6432257104 in words is "six billion, four hundred thirty-two million, two hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 79 91 104 112 158 182 208 316 364 553 632 728 1027 1106 1264 1456 2054 2212 4108 4424 7189 8216 8848 14378 16432 28756 55921 57512 111842 115024 223684 391447 447368 726973 782894 894736 1453946 1565788 2907892 3131576 4417759 5088811 5815784 6263152 8835518 10177622 11631568 17671036 20355244 30924313 35342072 40710488 57430867 61848626 70684144 81420976 114861734 123697252 229723468 247394504 402016069 459446936 494789008 804032138 918893872 1608064276 3216128552 6432257104