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51212686940416 = 28412109092
BaseRepresentation
bin10111010010011111000100…
…00000110101100100000000
320201022212220012120201120101
423221033202000311210000
523203032040324043131
6300530441131052144
713533665060350501
oct1351174200654400
9221285805521511
1051212686940416
11153551a6736301
1258b14412a1054
13227644958b501
14c909c8a88ba8
155dc25d55dc61
hex2e93e2035900

51212686940416 has 81 divisors (see below), whose sum is σ = 104789042867523. Its totient is φ = 24979508490240.

The previous prime is 51212686940351. The next prime is 51212686940423. The reversal of 51212686940416 is 61404968621215.

The square root of 51212686940416 is 7156304.

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 28555086940416 + 22657600000000 = 5343696^2 + 4760000^2 .

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, 4694529970 + ... + 4694540878.

Almost surely, 251212686940416 is an apocalyptic number.

51212686940416 is the 7156304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51212686940416

51212686940416 is an abundant number, since it is smaller than the sum of its proper divisors (53576355927107).

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

51212686940416 is an frugal number, since it uses more digits than its factorization.

51212686940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21916 (or 10952 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 51212686940416 in words is "fifty-one trillion, two hundred twelve billion, six hundred eighty-six million, nine hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 1681 2624 3362 5248 6724 10496 10909 13448 21818 26896 43636 53792 87272 107584 174544 215168 349088 430336 447269 698176 894538 1396352 1789076 2792704 3578152 7156304 14312608 18338029 28625216 36676058 57250432 73352116 114500864 119006281 146704232 238012562 293408464 476025124 586816928 952050248 1173633856 1904100496 2347267712 3808200992 4694535424 4879257521 7616401984 9758515042 15232803968 19517030084 30465607936 39034060168 78068120336 156136240672 200049558361 312272481344 400099116722 624544962688 800198233444 1249089925376 1600396466888 3200792933776 6401585867552 12803171735104 25606343470208 51212686940416