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1449758075272 = 2313292115873881
BaseRepresentation
bin10101000110001100010…
…100001010100110001000
312010121002010120220202121
4111012030110022212020
5142223101031402042
63030002030541024
7206512233212623
oct25061424124610
95117063526677
101449758075272
11509925702751
121b4b81067774
13a6933500970
1450250b62dba
1527aa1668367
hex1518c50a988

1449758075272 has 128 divisors (see below), whose sum is σ = 3048661929600. Its totient is φ = 641723443200.

The previous prime is 1449758075237. The next prime is 1449758075273. The reversal of 1449758075272 is 2725708579441.

It is a happy number.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1449758075272.

It is not an unprimeable number, because it can be changed into a prime (1449758075273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373550772 + ... + 373554652.

It is an arithmetic number, because the mean of its divisors is an integer number (23817671325).

Almost surely, 21449758075272 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 1449758075272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524330964800).

1449758075272 is an abundant number, since it is smaller than the sum of its proper divisors (1598903854328).

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

1449758075272 is a wasteful number, since it uses less digits than its factorization.

1449758075272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 61.

The spelling of 1449758075272 in words is "one trillion, four hundred forty-nine billion, seven hundred fifty-eight million, seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 211 232 377 422 587 754 844 1174 1508 1688 2348 2743 3016 3881 4696 5486 6119 7631 7762 10972 12238 15262 15524 17023 21944 24476 30524 31048 34046 48952 50453 61048 68092 79547 100906 112549 123857 136184 159094 201812 221299 225098 247714 318188 403624 442598 450196 495428 636376 818891 885196 900392 990856 1463137 1610141 1637782 1770392 2278147 2926274 3220282 3275564 3591853 4556294 5852548 6440564 6551128 7183706 9112588 10645583 11705096 12881128 14367412 18225176 21291166 23747839 28734824 29615911 42582332 46694089 47495678 59231822 66066263 85164664 93388178 94991356 118463644 132132526 186776356 189982712 236927288 264265052 308721907 373552712 480689017 528530104 617443814 858861419 961378034 1234887628 1717722838 1922756068 2469775256 3435445676 3845512136 6248957221 6870891352 12497914442 13939981493 24995828884 27879962986 49991657768 55759925972 111519851944 181219759409 362439518818 724879037636 1449758075272