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3135061644 = 22311132379433
BaseRepresentation
bin1011101011011101…
…0011111010001100
322002111011122002020
42322313103322030
522410033433034
61235031130140
7140455404261
oct27267237214
98074148066
103135061644
11136972a240
12735b13950
133ac682b80
1421a523268
15135372249
hexbadd3e8c

3135061644 has 96 divisors (see below), whose sum is σ = 8967780864. Its totient is φ = 838801920.

The previous prime is 3135061639. The next prime is 3135061649. The reversal of 3135061644 is 4461605313.

It is an interprime number because it is at equal distance from previous prime (3135061639) and next prime (3135061649).

It is a super-3 number, since 3×31350616443 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3135061649) 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 31 ways as a sum of consecutive naturals, for example, 249 + ... + 79184.

It is an arithmetic number, because the mean of its divisors is an integer number (93414384).

Almost surely, 23135061644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135061644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483890432).

3135061644 is an abundant number, since it is smaller than the sum of its proper divisors (5832719220).

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

3135061644 is a wasteful number, since it uses less digits than its factorization.

3135061644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79487 (or 79485 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3135061644 is about 55991.6211946038. The cubic root of 3135061644 is about 1463.5762774613.

Adding to 3135061644 its reverse (4461605313), we get a palindrome (7596666957).

The spelling of 3135061644 in words is "three billion, one hundred thirty-five million, sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3588 6578 9867 13156 19734 39468 79433 158866 238299 317732 476598 873763 953196 1032629 1747526 1826959 2065258 2621289 3097887 3495052 3653918 4130516 5242578 5480877 6195774 7307836 10485156 10961754 11358919 12391548 20096549 21923508 22717838 23750467 34076757 40193098 45435676 47500934 60289647 68153514 71251401 80386196 95001868 120579294 136307028 142502802 241158588 261255137 285005604 522510274 783765411 1045020548 1567530822 3135061644