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2063235456 = 27334114561
BaseRepresentation
bin111101011111010…
…0111100110000000
312022210100012222000
41322332213212000
513211142013311
6540422144000
7102062132502
oct17276474600
95283305860
102063235456
11969708377
12496b82000
1326b5b7ba9
14158039d72
15c1204056
hex7afa7980

2063235456 has 128 divisors (see below), whose sum is σ = 6238360800. Its totient is φ = 670924800.

The previous prime is 2063235443. The next prime is 2063235457. The reversal of 2063235456 is 6545323602.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 2063235456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2063235457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134416 + ... + 148976.

Almost surely, 22063235456 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 2063235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119180400).

2063235456 is an abundant number, since it is smaller than the sum of its proper divisors (4175125344).

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

2063235456 is a wasteful number, since it uses less digits than its factorization.

2063235456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14625 (or 14607 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2063235456 is about 45422.8516938336. The cubic root of 2063235456 is about 1273.0621246232.

The spelling of 2063235456 in words is "two billion, sixty-three million, two hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 432 492 576 656 738 864 984 1107 1152 1312 1476 1728 1968 2214 2624 2952 3456 3936 4428 5248 5904 7872 8856 11808 14561 15744 17712 23616 29122 35424 43683 47232 58244 70848 87366 116488 131049 141696 174732 232976 262098 349464 393147 465952 524196 597001 698928 786294 931904 1048392 1194002 1397856 1572588 1791003 1863808 2096784 2388004 2795712 3145176 3582006 4193568 4776008 5373009 5591424 6290352 7164012 8387136 9552016 10746018 12580704 14328024 16119027 16774272 19104032 21492036 25161408 28656048 32238054 38208064 42984072 50322816 57312096 64476108 76416128 85968144 114624192 128952216 171936288 229248384 257904432 343872576 515808864 687745152 1031617728 2063235456