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1266115968 = 27331328181
BaseRepresentation
bin100101101110111…
…0110010110000000
310021020102100121000
41023131312112000
510043111202333
6325345132000
743242544125
oct11335662600
93236370530
101266115968
1159a764737
122b402a000
13172403160
14c022074c
157624a713
hex4b776580

1266115968 has 128 divisors (see below), whose sum is σ = 4024389600. Its totient is φ = 389560320.

The previous prime is 1266115967. The next prime is 1266115969. The reversal of 1266115968 is 8695116621.

1266115968 is a `hidden beast` number, since 1 + 26 + 611 + 5 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1266115967) and next prime (1266115969).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266115967) 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, 30838 + ... + 59018.

Almost surely, 21266115968 is an apocalyptic number.

1266115968 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 1266115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012194800).

1266115968 is an abundant number, since it is smaller than the sum of its proper divisors (2758273632).

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

1266115968 is a wasteful number, since it uses less digits than its factorization.

1266115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28217 (or 28199 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1266115968 is about 35582.5233506563. The cubic root of 1266115968 is about 1081.8270309342.

The spelling of 1266115968 in words is "one billion, two hundred sixty-six million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 28181 44928 56362 84543 112724 169086 225448 253629 338172 366353 450896 507258 676344 732706 760887 901792 1014516 1099059 1352688 1465412 1521774 1803584 2029032 2198118 2705376 2930824 3043548 3297177 3607168 4058064 4396236 5410752 5861648 6087096 6594354 8116128 8792472 9891531 10821504 11723296 12174192 13188708 16232256 17584944 19783062 23446592 24348384 26377416 32464512 35169888 39566124 46893184 48696768 52754832 70339776 79132248 97393536 105509664 140679552 158264496 211019328 316528992 422038656 633057984 1266115968