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41376039760 = 245113110115017
BaseRepresentation
bin100110100010001101…
…000100001101010000
310221210120022121012001
4212202031010031100
51134214231233020
631001412043344
72663223351346
oct464215041520
9127716277161
1041376039760
1116602772090
128028903554
133b95192183
142007243996
1511226e750a
hex9a2344350

41376039760 has 160 divisors (see below), whose sum is σ = 109409854464. Its totient is φ = 14415360000.

The previous prime is 41376039707. The next prime is 41376039787. The reversal of 41376039760 is 6793067314.

It is a super-2 number, since 2×413760397602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41376039760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2747772 + ... + 2762788.

Almost surely, 241376039760 is an apocalyptic number.

41376039760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41376039760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54704927232).

41376039760 is an abundant number, since it is smaller than the sum of its proper divisors (68033814704).

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

41376039760 is a wasteful number, since it uses less digits than its factorization.

41376039760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173 (or 15167 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 46.

The spelling of 41376039760 in words is "forty-one billion, three hundred seventy-six million, thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 101 110 124 155 176 202 220 248 310 341 404 440 496 505 620 682 808 880 1010 1111 1240 1364 1616 1705 2020 2222 2480 2728 3131 3410 4040 4444 5456 5555 6262 6820 8080 8888 11110 12524 13640 15017 15655 17776 22220 25048 27280 30034 31310 34441 44440 50096 60068 62620 68882 75085 88880 120136 125240 137764 150170 165187 172205 240272 250480 275528 300340 330374 344410 465527 551056 600680 660748 688820 825935 931054 1201360 1321496 1377640 1516717 1651870 1862108 2327635 2642992 2755280 3033434 3303740 3724216 4655270 5120797 6066868 6607480 7448432 7583585 9310540 10241594 12133736 13214960 15167170 16683887 18621080 20483188 24267472 25603985 30334340 33367774 37242160 40966376 47018227 51207970 60668680 66735548 81932752 83419435 94036454 102415940 121337360 133471096 166838870 188072908 204831880 235091135 266942192 333677740 376145816 409663760 470182270 517200497 667355480 752291632 940364540 1034400994 1334710960 1880729080 2068801988 2586002485 3761458160 4137603976 5172004970 8275207952 10344009940 20688019880 41376039760