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5978161296 = 2432672572411
BaseRepresentation
bin1011001000101001…
…11000000010010000
3120102121222001121100
411210110320002100
544220402130141
62425112424400
7301100350452
oct54424700220
916377861540
105978161296
112598575078
1211aa0a8100
137436c0763
14409d662d2
1524ec720b6
hex164538090

5978161296 has 120 divisors (see below), whose sum is σ = 17053399584. Its totient is φ = 1954529280.

The previous prime is 5978161283. The next prime is 5978161309. The reversal of 5978161296 is 6921618795.

It is an interprime number because it is at equal distance from previous prime (5978161283) and next prime (5978161309).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478331 + ... + 2480741.

Almost surely, 25978161296 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 5978161296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526699792).

5978161296 is an abundant number, since it is smaller than the sum of its proper divisors (11075238288).

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

5978161296 is a wasteful number, since it uses less digits than its factorization.

5978161296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2740 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 5978161296 is about 77318.5701885388. The cubic root of 5978161296 is about 1814.9132704499.

The spelling of 5978161296 in words is "five billion, nine hundred seventy-eight million, one hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 257 268 402 514 536 603 771 804 1028 1072 1206 1542 1608 2056 2313 2411 2412 3084 3216 4112 4626 4822 4824 6168 7233 9252 9644 9648 12336 14466 17219 18504 19288 21699 28932 34438 37008 38576 43398 51657 57864 68876 86796 103314 115728 137752 154971 161537 173592 206628 275504 309942 323074 347184 413256 484611 619627 619884 646148 826512 969222 1239254 1239768 1292296 1453833 1858881 1938444 2478508 2479536 2584592 2907666 3717762 3876888 4957016 5576643 5815332 7435524 7753776 9914032 11153286 11630664 14871048 22306572 23261328 29742096 41515009 44613144 83030018 89226288 124545027 166060036 249090054 332120072 373635081 498180108 664240144 747270162 996360216 1494540324 1992720432 2989080648 5978161296