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4124077416492 = 22311671669279397
BaseRepresentation
bin111100000000110110001…
…010110110000000101100
3112121020222001020112100020
4330000312022312000230
51020032102304311432
612434324111402140
7603645324435135
oct74006612660054
915536861215306
104124077416492
111350014207090
12567335223350
1323bb8b96b987
1410386bdccc8c
1572423dc922c
hex3c0362b602c

4124077416492 has 96 divisors (see below), whose sum is σ = 10660754791680. Its totient is φ = 1230325873920.

The previous prime is 4124077416463. The next prime is 4124077416497. The reversal of 4124077416492 is 2946147704214.

It is not an unprimeable number, because it can be changed into a prime (4124077416497) 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 31 ways as a sum of consecutive naturals, for example, 14620938 + ... + 14900334.

It is an arithmetic number, because the mean of its divisors is an integer number (111049529080).

Almost surely, 24124077416492 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 4124077416492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330377395840).

4124077416492 is an abundant number, since it is smaller than the sum of its proper divisors (6536677375188).

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

4124077416492 is a wasteful number, since it uses less digits than its factorization.

4124077416492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281151 (or 281149 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 4124077416492 in words is "four trillion, one hundred twenty-four billion, seventy-seven million, four hundred sixteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 1669 2211 2948 3338 4422 5007 6676 8844 10014 18359 20028 36718 55077 73436 110154 111823 220308 223646 279397 335469 447292 558794 670938 838191 1117588 1230053 1341876 1676382 2460106 3073367 3352764 3690159 4920212 6146734 7380318 9220101 12293468 14760636 18440202 18719599 36880404 37439198 56158797 74878396 112317594 205915589 224635188 411831178 466313593 617746767 823662356 932627186 1235493534 1398940779 1865254372 2470987068 2797881558 5129449523 5595763116 10258899046 15388348569 20517798092 30776697138 31243010731 61553394276 62486021462 93729032193 124972042924 187458064386 343673118041 374916128772 687346236082 1031019354123 1374692472164 2062038708246 4124077416492