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30705463920 = 243517326041
BaseRepresentation
bin11100100110001100…
…000011001001110000
32221020220202011221110
4130212030003021300
51000341044321140
622034512353320
72134624064655
oct344614031160
987226664843
1030705463920
111202748556a
125b4b245840
132b84598481
1416b4005c2c
15beaa2a380
hex726303270

30705463920 has 160 divisors (see below), whose sum is σ = 101138794560. Its totient is φ = 7706173440.

The previous prime is 30705463883. The next prime is 30705463939. The reversal of 30705463920 is 2936450703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166100 + ... + 1192140.

It is an arithmetic number, because the mean of its divisors is an integer number (632117466).

Almost surely, 230705463920 is an apocalyptic number.

30705463920 is a gapful number since it is divisible by the number (30) 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 30705463920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50569397280).

30705463920 is an abundant number, since it is smaller than the sum of its proper divisors (70433330640).

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

30705463920 is a wasteful number, since it uses less digits than its factorization.

30705463920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26108 (or 26068 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 30705463920 in words is "thirty billion, seven hundred five million, four hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 289 340 408 510 578 680 816 867 1020 1156 1360 1445 1734 2040 2312 2890 3468 4080 4335 4624 4913 5780 6936 8670 9826 11560 13872 14739 17340 19652 23120 24565 26041 29478 34680 39304 49130 52082 58956 69360 73695 78123 78608 98260 104164 117912 130205 147390 156246 196520 208328 235824 260410 294780 312492 390615 393040 416656 442697 520820 589560 624984 781230 885394 1041640 1179120 1249968 1328091 1562460 1770788 2083280 2213485 2656182 3124920 3541576 4426970 5312364 6249840 6640455 7083152 7525849 8853940 10624728 13280910 15051698 17707880 21249456 22577547 26561820 30103396 35415760 37629245 45155094 53123640 60206792 75258490 90310188 106247280 112887735 120413584 127939433 150516980 180620376 225775470 255878866 301033960 361240752 383818299 451550940 511757732 602067920 639697165 767636598 903101880 1023515464 1279394330 1535273196 1806203760 1919091495 2047030928 2558788660 3070546392 3838182990 5117577320 6141092784 7676365980 10235154640 15352731960 30705463920