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166440029820 = 223531214919373
BaseRepresentation
bin1001101100000010011…
…0010100111001111100
3120220121111021120002220
42123000212110321330
510211332121423240
6204243403245340
715011352624231
oct2330046247174
9526544246086
10166440029820
116465006a959
1228310519850
131290655125c
1480acd47788
1544e20445d0
hex26c0994e7c

166440029820 has 144 divisors (see below), whose sum is σ = 484807226400. Its totient is φ = 42661793280.

The previous prime is 166440029797. The next prime is 166440029831. The reversal of 166440029820 is 28920044661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8581654 + ... + 8601026.

It is an arithmetic number, because the mean of its divisors is an integer number (3366716850).

Almost surely, 2166440029820 is an apocalyptic number.

166440029820 is a gapful number since it is divisible by the number (10) 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 166440029820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242403613200).

166440029820 is an abundant number, since it is smaller than the sum of its proper divisors (318367196580).

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

166440029820 is a wasteful number, since it uses less digits than its factorization.

166440029820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19596 (or 19563 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 166440029820 in words is "one hundred sixty-six billion, four hundred forty million, twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 149 155 186 298 310 372 447 465 596 620 745 894 930 961 1490 1788 1860 1922 2235 2883 2980 3844 4470 4619 4805 5766 8940 9238 9610 11532 13857 14415 18476 19220 19373 23095 27714 28830 38746 46190 55428 57660 58119 69285 77492 92380 96865 116238 138570 143189 193730 232476 277140 286378 290595 387460 429567 572756 581190 600563 715945 859134 1162380 1201126 1431890 1718268 1801689 2147835 2402252 2863780 2886577 3002815 3603378 4295670 5773154 6005630 7206756 8591340 8659731 9008445 11546308 12011260 14432885 17319462 18016890 18617453 28865770 34638924 36033780 37234906 43298655 55852359 57731540 74469812 86597310 89483887 93087265 111704718 173194620 178967774 186174530 223409436 268451661 279261795 357935548 372349060 447419435 536903322 558523590 894838870 1073806644 1117047180 1342258305 1789677740 2684516610 2774000497 5369033220 5548000994 8322001491 11096001988 13870002485 16644002982 27740004970 33288005964 41610007455 55480009940 83220014910 166440029820