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1696002048 = 21232133539
BaseRepresentation
bin110010100010110…
…1111000000000000
311101012022211102200
41211011233000000
511433134031143
6440143113200
760012531246
oct14505570000
94335284380
101696002048
117a0392494
123b3ba2800
132104a9910
14121364796
159dd641d3
hex6516f000

1696002048 has 156 divisors (see below), whose sum is σ = 5277297480. Its totient is φ = 521699328.

The previous prime is 1696002047. The next prime is 1696002071. The reversal of 1696002048 is 8402006961.

1696002048 is a `hidden beast` number, since 1 + 6 + 9 + 600 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1696002043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477463 + ... + 481001.

It is an arithmetic number, because the mean of its divisors is an integer number (33828830).

Almost surely, 21696002048 is an apocalyptic number.

1696002048 is a gapful number since it is divisible by the number (18) 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 1696002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638648740).

1696002048 is an abundant number, since it is smaller than the sum of its proper divisors (3581295432).

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

1696002048 is a wasteful number, since it uses less digits than its factorization.

1696002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3557 counting only the distinct ones).

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

The square root of 1696002048 is about 41182.5454288586. The cubic root of 1696002048 is about 1192.5468715672.

The spelling of 1696002048 in words is "one billion, six hundred ninety-six million, two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3539 3744 4096 4608 4992 6144 6656 7078 7488 9216 9984 10617 12288 13312 14156 14976 18432 19968 21234 26624 28312 29952 31851 36864 39936 42468 46007 53248 56624 59904 63702 79872 84936 92014 113248 119808 127404 138021 159744 169872 184028 226496 239616 254808 276042 339744 368056 414063 452992 479232 509616 552084 679488 736112 828126 905984 1019232 1104168 1358976 1472224 1656252 1811968 2038464 2208336 2717952 2944448 3312504 3623936 4076928 4416672 5435904 5888896 6625008 7247872 8153856 8833344 10871808 11777792 13250016 14495744 16307712 17666688 21743616 23555584 26500032 32615424 35333376 43487232 47111168 53000064 65230848 70666752 94222336 106000128 130461696 141333504 188444672 212000256 282667008 424000512 565334016 848001024 1696002048