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1410664896 = 26341716007
BaseRepresentation
bin101010000010101…
…0000100111000000
310122022102012110000
41110011100213000
510342112234041
6351551240000
746646311434
oct12405204700
93568365400
101410664896
11664313463
12334519000
13196343b74
14d54ca9c4
1583c9ebb6
hex541509c0

1410664896 has 140 divisors (see below), whose sum is σ = 4427908848. Its totient is φ = 442533888.

The previous prime is 1410664859. The next prime is 1410664897. The reversal of 1410664896 is 6984660141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410664897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80125 + ... + 96131.

Almost surely, 21410664896 is an apocalyptic number.

1410664896 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 1410664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213954424).

1410664896 is an abundant number, since it is smaller than the sum of its proper divisors (3017243952).

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

1410664896 is a wasteful number, since it uses less digits than its factorization.

1410664896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16048 (or 16029 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1410664896 is about 37558.8191507667. The cubic root of 1410664896 is about 1121.5224024682.

The spelling of 1410664896 in words is "one billion, four hundred ten million, six hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 16007 22032 29376 32014 44064 48021 64028 88128 96042 128056 144063 192084 256112 272119 288126 384168 432189 512224 544238 576252 768336 816357 864378 1024448 1088476 1152504 1296567 1536672 1632714 1728756 2176952 2305008 2449071 2593134 3073344 3265428 3457512 4353904 4610016 4898142 5186268 6530856 6915024 7347213 8707808 9220032 9796284 10372536 13061712 13830048 14694426 17415616 19592568 20745072 22041639 26123424 27660096 29388852 39185136 41490144 44083278 52246848 58777704 78370272 82980288 88166556 117555408 156740544 176333112 235110816 352666224 470221632 705332448 1410664896