Search a number
-
+
491730272256 = 21536198081
BaseRepresentation
bin1110010011111010110…
…10001000000000000000
31202000020112021000102210
413021331122020000000
531024030422203011
61013521530142120
750345351231046
oct7117532100000
91660215230383
10491730272256
1117a5a5a12663
127b373581940
13374a6a78a52
1419b2abc6396
15cbceb086a6
hex727d688000

491730272256 has 128 divisors (see below), whose sum is σ = 1313541597600. Its totient is φ = 163625041920.

The previous prime is 491730272233. The next prime is 491730272263. The reversal of 491730272256 is 652272037194.

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60846136 + ... + 60854216.

Almost surely, 2491730272256 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 491730272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656770798800).

491730272256 is an abundant number, since it is smaller than the sum of its proper divisors (821811325344).

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

491730272256 is an frugal number, since it uses more digits than its factorization.

491730272256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8733 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 491730272256 in words is "four hundred ninety-one billion, seven hundred thirty million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 619 768 1024 1238 1536 1857 2048 2476 3072 3714 4096 4952 6144 7428 8081 8192 9904 12288 14856 16162 16384 19808 24243 24576 29712 32324 32768 39616 48486 49152 59424 64648 79232 96972 98304 118848 129296 158464 193944 237696 258592 316928 387888 475392 517184 633856 775776 950784 1034368 1267712 1551552 1901568 2068736 2535424 3103104 3803136 4137472 5002139 5070848 6206208 7606272 8274944 10004278 10141696 12412416 15006417 15212544 16549888 20008556 20283392 24824832 30012834 30425088 33099776 40017112 49649664 60025668 60850176 66199552 80034224 99299328 120051336 132399104 160068448 198598656 240102672 264798208 320136896 397197312 480205344 640273792 794394624 960410688 1280547584 1920821376 2561095168 3841642752 5122190336 7683285504 10244380672 15366571008 20488761344 30733142016 40977522688 61466284032 81955045376 122932568064 163910090752 245865136128 491730272256