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5147681238 = 232779587881
BaseRepresentation
bin1001100101101001…
…10110000111010110
3111021202021022010200
410302310312013112
541020301244423
62210444401330
7241364366010
oct46264660726
914252238120
105147681238
112201806117
12bb7b46246
1364062823b
1436b9451b0
15201dc8d43
hex132d361d6

5147681238 has 96 divisors (see below), whose sum is σ = 12944655360. Its totient is φ = 1448029440.

The previous prime is 5147681183. The next prime is 5147681239. The reversal of 5147681238 is 8321867415.

5147681238 is a `hidden beast` number, since 51 + 476 + 8 + 123 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5147681193 and 5147681202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5147681239) 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 47 ways as a sum of consecutive naturals, for example, 5842558 + ... + 5843438.

It is an arithmetic number, because the mean of its divisors is an integer number (134840160).

Almost surely, 25147681238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5147681238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472327680).

5147681238 is an abundant number, since it is smaller than the sum of its proper divisors (7796974122).

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

5147681238 is a wasteful number, since it uses less digits than its factorization.

5147681238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1559 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5147681238 is about 71747.3430727578. The cubic root of 5147681238 is about 1726.6482866433.

The spelling of 5147681238 in words is "five billion, one hundred forty-seven million, six hundred eighty-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 587 711 881 1106 1174 1422 1659 1761 1762 2643 3318 3522 4109 4977 5283 5286 6167 7929 8218 9954 10566 12327 12334 15858 18501 24654 36981 37002 46373 55503 69599 73962 92746 111006 139119 139198 208797 278238 324611 417357 417594 487193 517147 626391 649222 834714 973833 974386 1034294 1252782 1461579 1551441 1947666 2921499 2923158 3102882 3620029 4384737 4654323 5842998 7240058 8769474 9308646 10860087 21720174 32580261 40854613 65160522 81709226 122563839 245127678 285982291 367691517 571964582 735383034 857946873 1715893746 2573840619 5147681238