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50111541456 = 2432373709877
BaseRepresentation
bin101110101010111000…
…010111000011010000
311210100100201001201220
4232222320113003100
51310112023311311
635004304125040
73422545034334
oct565270270320
9153310631656
1050111541456
111a285727879
129866306780
134957bc48a2
1425d54877c4
151484579206
hexbaae170d0

50111541456 has 160 divisors (see below), whose sum is σ = 137283237120. Its totient is φ = 15718551552.

The previous prime is 50111541449. The next prime is 50111541457. The reversal of 50111541456 is 65414511105.

It is a super-2 number, since 2×501115414562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50111541457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57139290 + ... + 57140166.

It is an arithmetic number, because the mean of its divisors is an integer number (858020232).

Almost surely, 250111541456 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 50111541456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68641618560).

50111541456 is an abundant number, since it is smaller than the sum of its proper divisors (87171695664).

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

50111541456 is a wasteful number, since it uses less digits than its factorization.

50111541456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 50111541456 in words is "fifty billion, one hundred eleven million, five hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 73 92 138 146 184 219 276 292 368 438 552 584 709 876 877 1104 1168 1418 1679 1752 1754 2127 2631 2836 3358 3504 3508 4254 5037 5262 5672 6716 7016 8508 10074 10524 11344 13432 14032 16307 17016 20148 20171 21048 26864 32614 34032 40296 40342 42096 48921 51757 60513 64021 65228 80592 80684 97842 103514 121026 128042 130456 155271 161368 192063 195684 207028 242052 256084 260912 310542 322736 384126 391368 414056 484104 512168 621084 621793 768252 782736 828112 968208 1024336 1190411 1242168 1243586 1472483 1536504 1865379 2380822 2484336 2487172 2944966 3073008 3571233 3730758 4417449 4761644 4974344 5889932 7142466 7461516 8834898 9523288 9948688 11779864 14284932 14301239 14923032 17669796 19046576 23559728 28569864 28602478 29846064 35339592 42903717 45390889 57139728 57204956 70679184 85807434 90781778 114409912 136172667 171614868 181563556 228819824 272345334 343229736 363127112 544690668 686459472 726254224 1043990447 1089381336 2087980894 2178762672 3131971341 4175961788 6263942682 8351923576 12527885364 16703847152 25055770728 50111541456