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39429386010 = 2335727317639
BaseRepresentation
bin100100101110001011…
…001010111100011010
310202202220100100021000
4210232023022330122
51121222410323020
630040312325430
72564045152110
oct445613127432
9122686310230
1039429386010
11157a3951333
1277849a3876
133944aa5351
141ca08b3ab0
15105b871090
hex92e2caf1a

39429386010 has 128 divisors (see below), whose sum is σ = 120225484800. Its totient is φ = 9007951680.

The previous prime is 39429385939. The next prime is 39429386047. The reversal of 39429386010 is 1068392493.

It is a happy number.

39429386010 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 9 + 38 + 601 + 0 = 666.

39429386010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×394293860102 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5157771 + ... + 5165409.

It is an arithmetic number, because the mean of its divisors is an integer number (939261600).

Almost surely, 239429386010 is an apocalyptic number.

39429386010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39429386010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60112742400).

39429386010 is an abundant number, since it is smaller than the sum of its proper divisors (80796098790).

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

39429386010 is a wasteful number, since it uses less digits than its factorization.

39429386010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 39429386010 in words is "thirty-nine billion, four hundred twenty-nine million, three hundred eighty-six thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2731 5462 7639 8193 13655 15278 16386 19117 22917 24579 27310 38195 38234 40965 45834 49158 53473 57351 68751 73737 76390 81930 95585 106946 114585 114702 122895 137502 147474 160419 172053 191170 206253 229170 245790 267365 286755 320838 343755 344106 368685 412506 481257 516159 534730 573510 687510 737370 802095 860265 962514 1031265 1032318 1443771 1604190 1720530 2062530 2406285 2580795 2887542 4812570 5161590 7218855 14437710 20862109 41724218 62586327 104310545 125172654 146034763 187758981 208621090 292069526 312931635 375517962 438104289 563276943 625863270 730173815 876208578 938794905 1126553886 1314312867 1460347630 1877589810 2190521445 2628625734 2816384715 3942938601 4381042890 5632769430 6571564335 7885877202 13143128670 19714693005 39429386010