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1481009712 = 243721348437
BaseRepresentation
bin101100001000110…
…0110101000110000
310211012210002101120
41120101212220300
511013114302322
6402543102240
751462242400
oct13021465060
93735702346
101481009712
1169aa9a576
12353ba1980
131a7aa3610
1410099c800
158a047a5c
hex58466a30

1481009712 has 120 divisors (see below), whose sum is σ = 4793036976. Its totient is φ = 390587904.

The previous prime is 1481009711. The next prime is 1481009713. The reversal of 1481009712 is 2179001841.

It is an interprime number because it is at equal distance from previous prime (1481009711) and next prime (1481009713).

It is not an unprimeable number, because it can be changed into a prime (1481009711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6358 + ... + 54794.

Almost surely, 21481009712 is an apocalyptic number.

1481009712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481009712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396518488).

1481009712 is an abundant number, since it is smaller than the sum of its proper divisors (3312027264).

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

1481009712 is a wasteful number, since it uses less digits than its factorization.

1481009712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48475 (or 48462 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1481009712 is about 38483.8889926681. Note that the first 3 decimals coincide. The cubic root of 1481009712 is about 1139.8629444343.

The spelling of 1481009712 in words is "one billion, four hundred eighty-one million, nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 48437 96874 145311 193748 290622 339059 387496 581244 629681 678118 774992 1017177 1162488 1259362 1356236 1889043 2034354 2324976 2373413 2518724 2712472 3778086 4068708 4407767 4746826 5037448 5424944 7120239 7556172 8137416 8815534 9493652 10074896 13223301 14240478 15112344 16274832 17631068 18987304 26446602 28480956 30224688 30854369 35262136 37974608 52893204 56961912 61708738 70524272 92563107 105786408 113923824 123417476 185126214 211572816 246834952 370252428 493669904 740504856 1481009712