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48300430431 = 3112314439689
BaseRepresentation
bin101100111110111011…
…100001010001011111
311121200010210002110210
4230332323201101133
51242404402233211
634104445503503
73326633612301
oct547673412137
9147603702423
1048300430431
1119536374300
12943b871b93
134729914366
1424a2b1b971
1513ca5789a6
hexb3eee145f

48300430431 has 48 divisors (see below), whose sum is σ = 73243376640. Its totient is φ = 28261833600.

The previous prime is 48300430361. The next prime is 48300430441. The reversal of 48300430431 is 13403400384.

48300430431 = 117312 + 117322 + ... + 120712.

It is not a de Polignac number, because 48300430431 - 214 = 48300414047 is a prime.

It is a super-2 number, since 2×483004304312 (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 (48300430441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4980235 + ... + 4989923.

It is an arithmetic number, because the mean of its divisors is an integer number (1525903680).

Almost surely, 248300430431 is an apocalyptic number.

48300430431 is a deficient number, since it is larger than the sum of its proper divisors (24942946209).

48300430431 is a wasteful number, since it uses less digits than its factorization.

48300430431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

It can be divided in two parts, 48300 and 430431, that added together give a triangular number (478731 = T978).

The spelling of 48300430431 in words is "forty-eight billion, three hundred million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 11 31 33 93 121 341 363 443 1023 1329 3751 4873 9689 11253 13733 14619 29067 41199 53603 106579 151063 160809 300359 319737 453189 901077 1172369 1661693 3303949 3517107 4292227 4985079 9911847 12876681 36343439 47214497 109030317 133059037 141643491 399177111 519359467 1463649407 1558078401 4390948221 16100143477 48300430431