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50015296881 = 381122512
BaseRepresentation
bin101110100101001001…
…001101110101110001
311210002122121100000000
4232211021031311301
51304412404000011
634550545220213
73420266003034
oct564511156561
9153078540000
1050015296881
111a236370900
12983a031669
134940c97534
1425c679301b
15147adb7356
hexba524dd71

50015296881 has 81 divisors (see below), whose sum is σ = 82788878809. Its totient is φ = 30191535000.

The previous prime is 50015296843. The next prime is 50015296883. The reversal of 50015296881 is 18869251005.

It is a happy number.

The square root of 50015296881 is 223641.

It is a perfect power (a square), and thus also a powerful number.

50015296881 is a `hidden beast` number, since 500 + 1 + 5 + 2 + 9 + 68 + 81 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 50015296881 - 213 = 50015288689 is a prime.

It is a super-2 number, since 2×500152968812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50015296883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 199264006 + ... + 199264256.

Almost surely, 250015296881 is an apocalyptic number.

50015296881 is the 223641-st square number.

50015296881 is the 111821-st centered octagonal number.

It is an amenable number.

50015296881 is a deficient number, since it is larger than the sum of its proper divisors (32773581928).

50015296881 is an frugal number, since it uses more digits than its factorization.

50015296881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 50015296881 in words is "fifty billion, fifteen million, two hundred ninety-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 251 297 363 729 753 891 1089 2187 2259 2673 2761 3267 6561 6777 8019 8283 9801 20331 24057 24849 29403 30371 60993 63001 72171 74547 88209 91113 182979 189003 223641 264627 273339 548937 567009 670923 693011 793881 820017 1646811 1701027 2012769 2079033 2460051 5103081 6038307 6237099 7380153 7623121 15309243 18114921 18711297 22140459 22869363 45927729 56133891 66421377 68608089 137783187 168401673 199264131 205824267 413349561 505205019 617472801 1515615057 1852418403 4546845171 5557255209 16671765627 50015296881