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266268672 = 2123231233
BaseRepresentation
bin11111101111011…
…11000000000000
3200120000211221200
433313233000000
51021131044142
642231021200
76412150335
oct1767570000
9616024850
10266268672
1112733565a
127520a800
134321a637
142751298c
151859964c
hexfdef000

266268672 has 156 divisors (see below), whose sum is σ = 797344704. Its totient is φ = 85524480.

The previous prime is 266268551. The next prime is 266268683. The reversal of 266268672 is 276862662.

266268672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142668 + ... + 1142900.

It is an arithmetic number, because the mean of its divisors is an integer number (5111184).

Almost surely, 2266268672 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 266268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398672352).

266268672 is an abundant number, since it is smaller than the sum of its proper divisors (531076032).

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

266268672 is a wasteful number, since it uses less digits than its factorization.

266268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 266268672 is about 16317.7410201290. The cubic root of 266268672 is about 643.3392139445.

The spelling of 266268672 in words is "two hundred sixty-six million, two hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 233 248 256 279 288 372 384 466 496 512 558 576 699 744 768 932 992 1024 1116 1152 1398 1488 1536 1864 1984 2048 2097 2232 2304 2796 2976 3072 3728 3968 4096 4194 4464 4608 5592 5952 6144 7223 7456 7936 8388 8928 9216 11184 11904 12288 14446 14912 15872 16776 17856 18432 21669 22368 23808 28892 29824 31744 33552 35712 36864 43338 44736 47616 57784 59648 63488 65007 67104 71424 86676 89472 95232 115568 119296 126976 130014 134208 142848 173352 178944 190464 231136 238592 260028 268416 285696 346704 357888 380928 462272 477184 520056 536832 571392 693408 715776 924544 954368 1040112 1073664 1142784 1386816 1431552 1849088 2080224 2147328 2773632 2863104 3698176 4160448 4294656 5547264 7396352 8320896 8589312 11094528 14792704 16641792 22189056 29585408 33283584 44378112 66567168 88756224 133134336 266268672