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29146683060 = 22335114906849
BaseRepresentation
bin11011001001010001…
…110001011010110100
32210020021121220121000
4123021101301122310
5434143022324220
621220110323300
72051165501235
oct331121613264
983207556530
1029146683060
11113a75a7420
1257951b9530
132996665131
1415a6da108c
15b58c6e390
hex6c94716b4

29146683060 has 96 divisors (see below), whose sum is σ = 98922096000. Its totient is φ = 7065861120.

The previous prime is 29146683053. The next prime is 29146683109. The reversal of 29146683060 is 6038664192.

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

It is a junction number, because it is equal to n+sod(n) for n = 29146682997 and 29146683015.

It is a congruent number.

It is an unprimeable number.

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, 2447485 + ... + 2459364.

It is an arithmetic number, because the mean of its divisors is an integer number (1030438500).

Almost surely, 229146683060 is an apocalyptic number.

29146683060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29146683060 is an abundant number, since it is smaller than the sum of its proper divisors (69775412940).

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

29146683060 is a wasteful number, since it uses less digits than its factorization.

29146683060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906878 (or 4906870 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 29146683060 in words is "twenty-nine billion, one hundred forty-six million, six hundred eighty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 4906849 9813698 14720547 19627396 24534245 29441094 44161641 49068490 53975339 58882188 73602735 88323282 98136980 107950678 132484923 147205470 161926017 176646564 215901356 220808205 264969846 269876695 294410940 323852034 441616410 485778051 529939692 539753390 647704068 662424615 809630085 883232820 971556102 1079506780 1324849230 1457334153 1619260170 1943112204 2428890255 2649698460 2914668306 3238520340 4857780510 5829336612 7286670765 9715561020 14573341530 29146683060