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41675434740 = 22345170915053
BaseRepresentation
bin100110110100000011…
…001010101011110100
310222120102200102220000
4212310003022223310
51140322402402430
631051225111300
73003520231122
oct466403125364
9128512612800
1041675434740
1116746772a55
1280b1028530
133c1220a774
142034cda912
15113db36e60
hex9b40caaf4

41675434740 has 120 divisors (see below), whose sum is σ = 130822571880. Its totient is φ = 11106208512.

The previous prime is 41675434739. The next prime is 41675434747. The reversal of 41675434740 is 4743457614.

41675434740 is a `hidden beast` number, since 4 + 1 + 67 + 543 + 4 + 7 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7555434084 + 34120000656 = 86922^2 + 184716^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41675434747) 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 39 ways as a sum of consecutive naturals, for example, 2761054 + ... + 2776106.

It is an arithmetic number, because the mean of its divisors is an integer number (1090188099).

Almost surely, 241675434740 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 41675434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65411285940).

41675434740 is an abundant number, since it is smaller than the sum of its proper divisors (89147137140).

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

41675434740 is a wasteful number, since it uses less digits than its factorization.

41675434740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16783 (or 16772 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 41675434740 in words is "forty-one billion, six hundred seventy-five million, four hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1709 3418 5127 6836 8545 10254 15053 15381 17090 20508 25635 30106 30762 34180 45159 46143 51270 60212 61524 75265 76905 90318 92286 102540 135477 138429 150530 153810 180636 184572 225795 230715 270954 276858 301060 307620 406431 451590 461430 541908 553716 677385 692145 812862 903180 922860 1219293 1354770 1384290 1625724 2032155 2438586 2709540 2768580 4064310 4877172 6096465 8128620 12192930 24385860 25725577 51451154 77176731 102902308 128627885 154353462 231530193 257255770 308706924 385883655 463060386 514511540 694590579 771767310 926120772 1157650965 1389181158 1543534620 2083771737 2315301930 2778362316 3472952895 4167543474 4630603860 6945905790 8335086948 10418858685 13891811580 20837717370 41675434740