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6130226144 = 25725577019
BaseRepresentation
bin1011011010110001…
…11101001111100000
3120211020002202100202
411231120331033200
5100023314214034
62452144004332
7304625030300
oct55530751740
916736082322
106130226144
1126663976a9
1212310006a8
13769063463
1442222b600
1525d2ad47e
hex16d63d3e0

6130226144 has 72 divisors (see below), whose sum is σ = 14066521560. Its totient is φ = 2622149376.

The previous prime is 6130226107. The next prime is 6130226153. The reversal of 6130226144 is 4416220316.

It is a super-2 number, since 2×61302261442 = 75159345153162217472, 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 11 ways as a sum of consecutive naturals, for example, 869867 + ... + 876885.

It is an arithmetic number, because the mean of its divisors is an integer number (195368355).

Almost surely, 26130226144 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 6130226144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033260780).

6130226144 is an abundant number, since it is smaller than the sum of its proper divisors (7936295416).

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

6130226144 is a wasteful number, since it uses less digits than its factorization.

6130226144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 6130226144 is about 78295.7607026076. The cubic root of 6130226144 is about 1830.1730896229.

The spelling of 6130226144 in words is "six billion, one hundred thirty million, two hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 557 784 1114 1568 2228 3899 4456 7019 7798 8912 14038 15596 17824 27293 28076 31192 49133 54586 56152 62384 98266 109172 112304 124768 196532 218344 224608 343931 393064 436688 687862 786128 873376 1375724 1572256 2751448 3909583 5502896 7819166 11005792 15638332 27367081 31276664 54734162 62553328 109468324 125106656 191569567 218936648 383139134 437873296 766278268 875746592 1532556536 3065113072 6130226144