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51348704256 = 2103211349307
BaseRepresentation
bin101111110100100111…
…110000110000000000
311220112120122110001100
4233310213300300000
51320130232014011
635331140534400
73465316533063
oct576447606000
9156476573040
1051348704256
111a860006573
129b506b1400
134ac42cb395
1426b18cc8da
151507ea5d56
hexbf49f0c00

51348704256 has 132 divisors (see below), whose sum is σ = 149583411432. Its totient is φ = 16964419584.

The previous prime is 51348704243. The next prime is 51348704269. The reversal of 51348704256 is 65240784315.

51348704256 is a `hidden beast` number, since 51 + 348 + 7 + 0 + 4 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (51348704243) and next prime (51348704269).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1016755 + ... + 1066061.

Almost surely, 251348704256 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 51348704256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74791705716).

51348704256 is an abundant number, since it is smaller than the sum of its proper divisors (98234707176).

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

51348704256 is a wasteful number, since it uses less digits than its factorization.

51348704256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49446 (or 49425 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 51348704256 in words is "fifty-one billion, three hundred forty-eight million, seven hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 384 452 512 576 678 768 904 1017 1024 1152 1356 1536 1808 2034 2304 2712 3072 3616 4068 4608 5424 7232 8136 9216 10848 14464 16272 21696 28928 32544 43392 49307 57856 65088 86784 98614 115712 130176 147921 173568 197228 260352 295842 347136 394456 443763 520704 591684 788912 887526 1041408 1183368 1577824 1775052 2366736 3155648 3550104 4733472 5571691 6311296 7100208 9466944 11143382 12622592 14200416 16715073 18933888 22286764 25245184 28400832 33430146 37867776 44573528 50145219 50490368 56801664 66860292 75735552 89147056 100290438 113603328 133720584 151471104 178294112 200580876 227206656 267441168 356588224 401161752 454413312 534882336 713176448 802323504 1069764672 1426352896 1604647008 2139529344 2852705792 3209294016 4279058688 5705411584 6418588032 8558117376 12837176064 17116234752 25674352128 51348704256