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6148382996 = 22721713713469
BaseRepresentation
bin1011011100111100…
…01110000100010100
3120212111021012212202
411232132032010110
5100042441223441
62454033104032
7305235251600
oct55636160424
916774235782
106148382996
112675669168
1212370b8018
1376ca4c962
144247d6500
1525eb9819b
hex16e78e114

6148382996 has 72 divisors (see below), whose sum is σ = 13350332520. Its totient is φ = 2461734912.

The previous prime is 6148382963. The next prime is 6148383019. The reversal of 6148382996 is 6992838416.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2267092996 + 3881290000 = 47614^2 + 62300^2 .

It is a super-2 number, since 2×61483829962 = 75605226931003872032, 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 23 ways as a sum of consecutive naturals, for example, 449750 + ... + 463218.

It is an arithmetic number, because the mean of its divisors is an integer number (185421285).

Almost surely, 26148382996 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 6148382996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675166260).

6148382996 is an abundant number, since it is smaller than the sum of its proper divisors (7201949524).

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

6148382996 is a wasteful number, since it uses less digits than its factorization.

6148382996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13641 (or 13632 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 56.

The square root of 6148382996 is about 78411.6253880762. The cubic root of 6148382996 is about 1831.9782121606.

The spelling of 6148382996 in words is "six billion, one hundred forty-eight million, three hundred eighty-two thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 137 196 238 274 476 548 833 959 1666 1918 2329 3332 3836 4658 6713 9316 13426 13469 16303 26852 26938 32606 53876 65212 94283 114121 188566 228242 228973 377132 456484 457946 659981 915892 1319962 1602811 1845253 2639924 3205622 3690506 6411244 7381012 11219677 12916771 22439354 25833542 31369301 44878708 51667084 62738602 90417397 125477204 180834794 219585107 361669588 439170214 878340428 1537095749 3074191498 6148382996