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51415959348 = 223213359330577
BaseRepresentation
bin101111111000101000…
…010100011100110100
311220201021012100200200
4233320220110130310
51320244441144343
635341542240500
73500064305055
oct577050243464
9156637170620
1051415959348
111a894a72296
129b6b126130
134b052186b0
1426ba7d872c
15150dd3d4d3
hexbf8a14734

51415959348 has 72 divisors (see below), whose sum is σ = 140009200968. Its totient is φ = 15815374848.

The previous prime is 51415959289. The next prime is 51415959377. The reversal of 51415959348 is 84395951415.

51415959348 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 5 + 9 + 593 + 48 = 666.

51415959348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40297104 + 51375662244 = 6348^2 + 226662^2 .

It is a super-5 number, since 5×514159593485 (a number of 55 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51415959294 and 51415959303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1666236 + ... + 1696812.

Almost surely, 251415959348 is an apocalyptic number.

It is an amenable number.

51415959348 is an abundant number, since it is smaller than the sum of its proper divisors (88593241620).

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

51415959348 is a wasteful number, since it uses less digits than its factorization.

51415959348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34193 (or 34188 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 51415959348 in words is "fifty-one billion, four hundred fifteen million, nine hundred fifty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3593 7186 10779 14372 21558 30577 32337 43116 46709 61154 64674 91731 93418 122308 129348 140127 183462 186836 275193 280254 366924 397501 420381 550386 560508 795002 840762 1100772 1192503 1590004 1681524 2385006 3577509 4770012 7155018 14310036 109863161 219726322 329589483 439452644 659178966 988768449 1318357932 1428221093 1977536898 2856442186 3955073796 4284663279 5712884372 8569326558 12853989837 17138653116 25707979674 51415959348