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4437325398016 = 2147223512
BaseRepresentation
bin100000010010010010100…
…1101000100000000000000
3120201012111211120202020201
41000210211031010000000
51040200120300214031
613234251255014544
7635405026362400
oct100444515040000
916635454522221
104437325398016
11146094a562a45
125b7b9736a454
13262590355cb4
14114aa67ac800
157a659670d61
hex40925344000

4437325398016 has 135 divisors (see below), whose sum is σ = 10327651199607. Its totient is φ = 1900901990400.

The previous prime is 4437325397987. The next prime is 4437325398041. The reversal of 4437325398016 is 6108935237344.

It is a happy number.

The square root of 4437325398016 is 2106496.

It is a perfect power (a square), and thus also a powerful 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, 1887419241 + ... + 1887421591.

It is a 1-persistent number, because it is pandigital, but 2⋅4437325398016 = 8874650796032 is not.

Almost surely, 24437325398016 is an apocalyptic number.

4437325398016 is the 2106496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4437325398016

4437325398016 is an abundant number, since it is smaller than the sum of its proper divisors (5890325801591).

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

4437325398016 is an frugal number, since it uses more digits than its factorization.

4437325398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 4437325398016 in words is "four trillion, four hundred thirty-seven billion, three hundred twenty-five million, three hundred ninety-eight thousand, sixteen".

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 2351 3136 3584 4096 4702 6272 7168 8192 9404 12544 14336 16384 16457 18808 25088 28672 32914 37616 50176 57344 65828 75232 100352 114688 115199 131656 150464 200704 230398 263312 300928 401408 460796 526624 601856 802816 921592 1053248 1203712 1843184 2106496 2407424 3686368 4212992 4814848 5527201 7372736 8425984 9629696 11054402 14745472 16851968 19259392 22108804 29490944 33703936 38518784 38690407 44217608 58981888 67407872 77380814 88435216 117963776 134815744 154761628 176870432 235927552 269631488 270832849 309523256 353740864 471855104 541665698 619046512 707481728 943710208 1083331396 1238093024 1414963456 1887420416 2166662792 2476186048 2829926912 4333325584 4952372096 5659853824 8666651168 9904744192 11319707648 17333302336 19809488384 22639415296 34666604672 39618976768 45278830592 69333209344 79237953536 90557661184 138666418688 158475907072 277332837376 316951814144 554665674752 633903628288 1109331349504 2218662699008 4437325398016