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1266208896 = 27310730817
BaseRepresentation
bin100101101111000…
…1101000010000000
310021020121002001210
41023132031002000
510043122141041
6325351130120
743243412061
oct11336150200
93236532053
101266208896
1159a818537
122b4073940
13172436544
14c0246568
1576268016
hex4b78d080

1266208896 has 64 divisors (see below), whose sum is σ = 3394910880. Its totient is φ = 418111488.

The previous prime is 1266208873. The next prime is 1266208897. The reversal of 1266208896 is 6988026621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1266208897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25680 + ... + 56496.

Almost surely, 21266208896 is an apocalyptic number.

1266208896 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 1266208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697455440).

1266208896 is an abundant number, since it is smaller than the sum of its proper divisors (2128701984).

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

1266208896 is a wasteful number, since it uses less digits than its factorization.

1266208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30941 (or 30929 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1266208896 is about 35583.8291362804. The cubic root of 1266208896 is about 1081.8534975891.

The spelling of 1266208896 in words is "one billion, two hundred sixty-six million, two hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 30817 41088 61634 92451 123268 184902 246536 369804 493072 739608 986144 1479216 1972288 2958432 3297419 3944576 5916864 6594838 9892257 11833728 13189676 19784514 26379352 39569028 52758704 79138056 105517408 158276112 211034816 316552224 422069632 633104448 1266208896