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5960296368 = 2432134576967
BaseRepresentation
bin1011000110100001…
…01110011110110000
3120101101100102112100
411203100232132300
544201313440433
62423233500400
7300462453225
oct54320563660
916341312470
105960296368
112589482974
1211a4111700
1373caa70b0
1440783594c
1524d3e3b13
hex16342e7b0

5960296368 has 120 divisors (see below), whose sum is σ = 18005562848. Its totient is φ = 1829661696.

The previous prime is 5960296327. The next prime is 5960296379. The reversal of 5960296368 is 8636920695.

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, 852021 + ... + 858987.

Almost surely, 25960296368 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 5960296368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002781424).

5960296368 is an abundant number, since it is smaller than the sum of its proper divisors (12045266480).

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

5960296368 is a wasteful number, since it uses less digits than its factorization.

5960296368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7451 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 5960296368 is about 77202.9556947142. The cubic root of 5960296368 is about 1813.1035921575.

The spelling of 5960296368 in words is "five billion, nine hundred sixty million, two hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 457 468 624 914 936 1371 1828 1872 2742 3656 4113 5484 5941 6967 7312 8226 10968 11882 13934 16452 17823 20901 21936 23764 27868 32904 35646 41802 47528 53469 55736 62703 65808 71292 83604 90571 95056 106938 111472 125406 142584 167208 181142 213876 250812 271713 285168 334416 362284 427752 501624 543426 724568 815139 855504 1003248 1086852 1449136 1630278 2173704 3183919 3260556 4347408 6367838 6521112 9551757 12735676 13042224 19103514 25471352 28655271 38207028 41390947 50942704 57310542 76414056 82781894 114621084 124172841 152828112 165563788 229242168 248345682 331127576 372518523 458484336 496691364 662255152 745037046 993382728 1490074092 1986765456 2980148184 5960296368