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1481366016 = 2933138243
BaseRepresentation
bin101100001001011…
…1101101000000000
310211020110012011000
41120102331220000
511013212203031
6402554452000
751465255234
oct13022755000
93736405130
101481366016
116a0213239
12354134000
131a7b99850
14100a525c4
158a0b83e6
hex584bda00

1481366016 has 160 divisors (see below), whose sum is σ = 4722822720. Its totient is φ = 455749632.

The previous prime is 1481366011. The next prime is 1481366017. The reversal of 1481366016 is 6106631841.

1481366016 is a `hidden beast` number, since 1 + 48 + 1 + 3 + 6 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1481366011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175591 + ... + 183833.

It is an arithmetic number, because the mean of its divisors is an integer number (29517642).

Almost surely, 21481366016 is an apocalyptic number.

1481366016 is a gapful number since it is divisible by the number (16) 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 1481366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361411360).

1481366016 is an abundant number, since it is smaller than the sum of its proper divisors (3241456704).

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

1481366016 is an equidigital number, since it uses as much as digits as its factorization.

1481366016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8283 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1481366016 is about 38488.5179761445. The cubic root of 1481366016 is about 1139.9543472023.

Adding to 1481366016 its reverse (6106631841), we get a palindrome (7587997857).

The spelling of 1481366016 in words is "one billion, four hundred eighty-one million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7488 8243 9984 11232 13824 14976 16486 19968 22464 24729 29952 32972 44928 49458 59904 65944 74187 89856 98916 107159 131888 148374 179712 197832 214318 222561 263776 296748 321477 395664 428636 445122 527552 593496 642954 791328 857272 890244 964431 1055104 1186992 1285908 1582656 1714544 1780488 1928862 2110208 2373984 2571816 2893293 3165312 3429088 3560976 3857724 4220416 4747968 5143632 5786586 6330624 6858176 7121952 7715448 9495936 10287264 11573172 12661248 13716352 14243904 15430896 18991872 20574528 23146344 27432704 28487808 30861792 37983744 41149056 46292688 54865408 56975616 61723584 82298112 92585376 113951232 123447168 164596224 185170752 246894336 370341504 493788672 740683008 1481366016