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3046895927296 = 21413210492
BaseRepresentation
bin101100010101101001001…
…001100100000000000000
3101210021120102020012211021
4230111221021210000000
5344410020324133141
610251420305555224
7433062631030144
oct54255111440000
911707512205737
103046895927296
11a751aa355a91
12412613345b14
13191423479c00
14a768328d224
15543cb8386d1
hex2c569264000

3046895927296 has 135 divisors (see below), whose sum is σ = 6604697819811. Its totient is φ = 1404919087104.

The previous prime is 3046895927249. The next prime is 3046895927311. The reversal of 3046895927296 is 6927295986403.

The square root of 3046895927296 is 1745536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21856665600 + 3025039261696 = 147840^2 + 1739264^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2904571380 + ... + 2904572428.

Almost surely, 23046895927296 is an apocalyptic number.

3046895927296 is the 1745536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3046895927296

3046895927296 is an abundant number, since it is smaller than the sum of its proper divisors (3557801892515).

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

3046895927296 is an frugal number, since it uses more digits than its factorization.

3046895927296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 70.

The spelling of 3046895927296 in words is "three trillion, forty-six billion, eight hundred ninety-five million, nine hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1049 1352 1664 2048 2098 2704 3328 4096 4196 5408 6656 8192 8392 10816 13312 13637 16384 16784 21632 26624 27274 33568 43264 53248 54548 67136 86528 106496 109096 134272 173056 177281 212992 218192 268544 346112 354562 436384 537088 692224 709124 872768 1074176 1100401 1384448 1418248 1745536 2148352 2200802 2768896 2836496 3491072 4296704 4401604 5672992 6982144 8593408 8803208 11345984 13964288 14305213 17186816 17606416 22691968 27928576 28610426 35212832 45383936 55857152 57220852 70425664 90767872 111714304 114441704 140851328 181535744 185967769 223428608 228883408 281702656 363071488 371935538 457766816 563405312 726142976 743871076 915533632 1126810624 1452285952 1487742152 1831067264 2253621248 2904571904 2975484304 3662134528 4507242496 5950968608 7324269056 9014484992 11901937216 14648538112 18028969984 23803874432 29297076224 47607748864 58594152448 95215497728 117188304896 190430995456 234376609792 380861990912 761723981824 1523447963648 3046895927296