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266046464 = 2101722931
BaseRepresentation
bin11111101101110…
…00110000000000
3200112121120010202
433312320300000
51021101441324
642222144332
76410233445
oct1766706000
9615546122
10266046464
111271a3712
12751220a8
1343170458
14274959cc
15185538ae
hexfdb8c00

266046464 has 132 divisors (see below), whose sum is σ = 603291840. Its totient is φ = 116981760.

The previous prime is 266046427. The next prime is 266046467. The reversal of 266046464 is 464640662.

266046464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (266046467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8582129 + ... + 8582159.

Almost surely, 2266046464 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 266046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301645920).

266046464 is an abundant number, since it is smaller than the sum of its proper divisors (337245376).

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

266046464 is a wasteful number, since it uses less digits than its factorization.

266046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 266046464 is about 16310.9308134147. The cubic root of 266046464 is about 643.1602031432.

The spelling of 266046464 in words is "two hundred sixty-six million, forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 64 68 116 124 128 136 232 248 256 272 289 464 493 496 512 527 544 578 899 928 986 992 1024 1054 1088 1156 1798 1856 1972 1984 2108 2176 2312 3596 3712 3944 3968 4216 4352 4624 7192 7424 7888 7936 8381 8432 8704 8959 9248 14384 14848 15283 15776 15872 16762 16864 17408 17918 18496 28768 29696 30566 31552 31744 33524 33728 35836 36992 57536 61132 63104 67048 67456 71672 73984 115072 122264 126208 134096 134912 143344 147968 230144 244528 252416 259811 268192 269824 286688 295936 460288 489056 504832 519622 536384 539648 573376 920576 978112 1039244 1072768 1146752 1956224 2078488 2145536 2293504 3912448 4156976 4291072 4587008 7824896 8313952 8582144 9174016 15649792 16627904 33255808 66511616 133023232 266046464