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3147997056 = 27341792531
BaseRepresentation
bin1011101110100010…
…1001111110000000
322010101111211010120
42323220221332000
522421341401211
61240212300240
7141003350661
oct27350517600
98111454116
103147997056
111375a64866
1273a311680
133b2261869
1421c12d368
15136579d06
hexbba29f80

3147997056 has 128 divisors (see below), whose sum is σ = 8677670400. Its totient is φ = 1010380800.

The previous prime is 3147997043. The next prime is 3147997087. The reversal of 3147997056 is 6507997413.

3147997056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242511 + ... + 1245041.

It is an arithmetic number, because the mean of its divisors is an integer number (67794300).

Almost surely, 23147997056 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 3147997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338835200).

3147997056 is an abundant number, since it is smaller than the sum of its proper divisors (5529673344).

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

3147997056 is a wasteful number, since it uses less digits than its factorization.

3147997056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 3147997056 is about 56107.0143208494. The cubic root of 3147997056 is about 1465.5864435287.

The spelling of 3147997056 in words is "three billion, one hundred forty-seven million, nine hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 79 82 96 123 128 158 164 192 237 246 316 328 384 474 492 632 656 948 984 1264 1312 1896 1968 2528 2531 2624 3239 3792 3936 5056 5062 5248 6478 7584 7593 7872 9717 10112 10124 12956 15168 15186 15744 19434 20248 25912 30336 30372 38868 40496 51824 60744 77736 80992 103648 103771 121488 155472 161984 199949 207296 207542 242976 310944 311313 323968 399898 414592 415084 485952 599847 621888 622626 799796 830168 971904 1199694 1243776 1245252 1599592 1660336 2399388 2490504 3199184 3320672 4798776 4981008 6398368 6641344 8197909 9597552 9962016 12796736 13282688 16395818 19195104 19924032 24593727 25593472 32791636 38390208 39848064 49187454 65583272 76780416 98374908 131166544 196749816 262333088 393499632 524666176 786999264 1049332352 1573998528 3147997056