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104261173040 = 24519234172739
BaseRepresentation
bin110000100011001110…
…0110011111100110000
3100222010010210100202102
41201012130303330300
53202011330014130
6115521422435532
710350455230343
oct1410634637460
9328103710672
10104261173040
1140242794512
1218258a32ba8
139aa75862cb
145090d5c45a
152aa339e645
hex1846733f30

104261173040 has 160 divisors (see below), whose sum is σ = 272757542400. Its totient is φ = 36869437440.

The previous prime is 104261173039. The next prime is 104261173069. The reversal of 104261173040 is 40371162401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104261172994 and 104261173012.

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, 1396991 + ... + 1469729.

It is an arithmetic number, because the mean of its divisors is an integer number (1704734640).

Almost surely, 2104261173040 is an apocalyptic number.

104261173040 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 104261173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136378771200).

104261173040 is an abundant number, since it is smaller than the sum of its proper divisors (168496369360).

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

104261173040 is a wasteful number, since it uses less digits than its factorization.

104261173040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72835 (or 72829 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 104261173040 in words is "one hundred four billion, two hundred sixty-one million, one hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 41 46 76 80 82 92 95 115 152 164 184 190 205 230 304 328 368 380 410 437 460 656 760 779 820 874 920 943 1520 1558 1640 1748 1840 1886 2185 3116 3280 3496 3772 3895 4370 4715 6232 6992 7544 7790 8740 9430 12464 15088 15580 17480 17917 18860 31160 34960 35834 37720 62320 71668 72739 75440 89585 143336 145478 179170 286672 290956 358340 363695 581912 716680 727390 1163824 1382041 1433360 1454780 1672997 2764082 2909560 2982299 3345994 5528164 5819120 5964598 6691988 6910205 8364985 11056328 11929196 13383976 13820410 14911495 16729970 22112656 23858392 26767952 27640820 29822990 31786943 33459940 47716784 55281640 56663681 59645980 63573886 66919880 68592877 110563280 113327362 119291960 127147772 133839760 137185754 158934715 226654724 238583920 254295544 274371508 283318405 317869430 342964385 453309448 508591088 548743016 566636810 635738860 685928770 906618896 1097486032 1133273620 1271477720 1303264663 1371857540 2266547240 2542955440 2606529326 2743715080 4533094480 5213058652 5487430160 6516323315 10426117304 13032646630 20852234608 26065293260 52130586520 104261173040