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2646113849344 = 2127236312
BaseRepresentation
bin100110100000011000101…
…011010001000000000000
3100100222002020001011120101
4212200120223101000000
5321323220121134334
65343335151052144
7362114111415400
oct46403053210000
910328066034511
102646113849344
11930235313979
12368a02211054
131626b1ac2364
14921032a8800
1548c71458214
hex26818ad1000

2646113849344 has 117 divisors (see below), whose sum is σ = 6157209110391. Its totient is φ = 1133736468480.

The previous prime is 2646113849329. The next prime is 2646113849369. The reversal of 2646113849344 is 4439483116462.

The square root of 2646113849344 is 1626688.

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

It is a super-2 number, since 2×26461138493442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 728754409 + ... + 728758039.

Almost surely, 22646113849344 is an apocalyptic number.

2646113849344 is the 1626688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2646113849344

2646113849344 is an abundant number, since it is smaller than the sum of its proper divisors (3511095261047).

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

2646113849344 is an frugal number, since it uses more digits than its factorization.

2646113849344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300 (or 3640 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 55.

The spelling of 2646113849344 in words is "two trillion, six hundred forty-six billion, one hundred thirteen million, eight hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 3631 4096 6272 7168 7262 12544 14336 14524 25088 25417 28672 29048 50176 50834 58096 100352 101668 116192 177919 200704 203336 232384 355838 406672 464768 711676 813344 929536 1423352 1626688 1859072 2846704 3253376 3718144 5693408 6506752 7436288 11386816 13013504 13184161 14872576 22773632 26027008 26368322 45547264 52054016 52736644 91094528 92289127 104108032 105473288 182189056 184578254 210946576 364378112 369156508 421893152 646023889 728756224 738313016 843786304 1292047778 1476626032 1687572608 2584095556 2953252064 3375145216 5168191112 5906504128 6750290432 10336382224 11813008256 13500580864 20672764448 23626016512 27001161728 41345528896 47252033024 54002323456 82691057792 94504066048 165382115584 189008132096 330764231168 378016264192 661528462336 1323056924672 2646113849344