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6312442136 = 2371113788267
BaseRepresentation
bin1011110000100000…
…00011100100011000
3121021220222021201012
411320100003210120
5100411441122021
62522213313052
7312266605250
oct57020034430
917256867635
106312442136
11274a233230
121282035788
13797a31b80
1443c500960
1526e2a335b
hex178403918

6312442136 has 64 divisors (see below), whose sum is σ = 15891482880. Its totient is φ = 2270206080.

The previous prime is 6312442133. The next prime is 6312442141.

6312442136 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6312442133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386126 + ... + 402141.

It is an arithmetic number, because the mean of its divisors is an integer number (248304420).

Almost surely, 26312442136 is an apocalyptic number.

It is an amenable number.

6312442136 is an abundant number, since it is smaller than the sum of its proper divisors (9579040744).

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

6312442136 is a wasteful number, since it uses less digits than its factorization.

6312442136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788304 (or 788300 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 6312442136 is about 79450.8787616600. The cubic root of 6312442136 is about 1848.1298008876.

The spelling of 6312442136 in words is "six billion, three hundred twelve million, four hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 788267 1576534 3153068 5517869 6306136 8670937 10247471 11035738 17341874 20494942 22071476 34683748 40989884 44142952 60696559 69367496 71732297 81979768 112722181 121393118 143464594 225444362 242786236 286929188 450888724 485572472 573858376 789055267 901777448 1578110534 3156221068 6312442136