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51415265792 = 291129112
BaseRepresentation
bin101111111000100101…
…101011001000000000
311220201012220010022102
4233320211223020000
51320244302001132
635341515325532
73500055356042
oct577045531000
9156635803272
1051415265792
111a894639200
129b6aa508a8
134b05034ac7
1426ba697a92
15150dc52c62
hexbf896b200

51415265792 has 90 divisors (see below), whose sum is σ = 113042307147. Its totient is φ = 23344921600.

The previous prime is 51415265777. The next prime is 51415265831. The reversal of 51415265792 is 29756251415.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 25707632896 + 25707632896 = 160336^2 + 160336^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=160336.

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, 56437817 + ... + 56438727.

Almost surely, 251415265792 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 51415265792

51415265792 is an abundant number, since it is smaller than the sum of its proper divisors (61627041355).

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

51415265792 is an frugal number, since it uses more digits than its factorization.

51415265792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 924 counting only the distinct ones).

The product of its digits is 756000, while the sum is 47.

The spelling of 51415265792 in words is "fifty-one billion, four hundred fifteen million, two hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 911 968 1408 1822 1936 2816 3644 3872 5632 7288 7744 10021 14576 15488 20042 29152 30976 40084 58304 61952 80168 110231 116608 160336 220462 233216 320672 440924 466432 641344 829921 881848 1282688 1659842 1763696 2565376 3319684 3527392 5130752 6639368 7054784 9129131 13278736 14109568 18258262 26557472 28219136 36516524 53114944 56438272 73033048 100420441 106229888 146066096 200840882 212459776 292132192 401681764 424919552 584264384 803363528 1168528768 1606727056 2337057536 3213454112 4674115072 6426908224 12853816448 25707632896 51415265792