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5978200096 = 25117323187
BaseRepresentation
bin1011001000101010…
…00001100000100000
3120102122001000211101
411210111001200200
544220404400341
62425113324144
7301100601541
oct54425014040
916378030741
105978200096
1125985a1240
1211aa106654
1374370530b
14409d764c8
1524ec7d831
hex164541820

5978200096 has 72 divisors (see below), whose sum is σ = 13021921584. Its totient is φ = 2679298560.

The previous prime is 5978200073. The next prime is 5978200133. The reversal of 5978200096 is 6900028795.

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, 1874215 + ... + 1877401.

It is an arithmetic number, because the mean of its divisors is an integer number (180860022).

Almost surely, 25978200096 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 5978200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510960792).

5978200096 is an abundant number, since it is smaller than the sum of its proper divisors (7043721488).

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

5978200096 is a wasteful number, since it uses less digits than its factorization.

5978200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 5978200096 is about 77318.8210981000. The cubic root of 5978200096 is about 1814.9171968792.

The spelling of 5978200096 in words is "five billion, nine hundred seventy-eight million, two hundred thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 2336 3187 3212 5329 6374 6424 10658 12748 12848 21316 25496 25696 35057 42632 50992 58619 70114 85264 101984 117238 140228 170528 232651 234476 280456 465302 468952 560912 930604 937904 1121824 1861208 1875808 2559161 3722416 5118322 7444832 10236644 16983523 20473288 33967046 40946576 67934092 81893152 135868184 186818753 271736368 373637506 543472736 747275012 1494550024 2989100048 5978200096