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108011400463920 = 24352986317982479
BaseRepresentation
bin11000100011110001011101…
…001010000000011000110000
3112011102210022012200111121110
4120203301131022000120300
5103124124322004321140
61021415430302153320
731515365123410602
oct3043613512003060
9464383265614543
10108011400463920
113146341778a718
12101453bb582840
13483657b909235
141c95acb607172
15c7495752a380
hex623c5d280630

108011400463920 has 160 divisors (see below), whose sum is σ = 346782775910400. Its totient is φ = 27777605696512.

The previous prime is 108011400463853. The next prime is 108011400463931. The reversal of 108011400463920 is 29364004110801.

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, 2984760 + ... + 14997719.

It is an arithmetic number, because the mean of its divisors is an integer number (2167392349440).

Almost surely, 2108011400463920 is an apocalyptic number.

108011400463920 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 108011400463920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173391387955200).

108011400463920 is an abundant number, since it is smaller than the sum of its proper divisors (238771375446480).

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

108011400463920 is a wasteful number, since it uses less digits than its factorization.

108011400463920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17983387 (or 17983381 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 108011400463920 in words is "one hundred eight trillion, eleven billion, four hundred million, four hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 863 870 1160 1392 1726 1740 2320 2589 3452 3480 4315 5178 6904 6960 8630 10356 12945 13808 17260 20712 25027 25890 34520 41424 50054 51780 69040 75081 100108 103560 125135 150162 200216 207120 250270 300324 375405 400432 500540 600648 750810 1001080 1201296 1501620 2002160 3003240 6006480 17982479 35964958 53947437 71929916 89912395 107894874 143859832 179824790 215789748 269737185 287719664 359649580 431579496 521491891 539474370 719299160 863158992 1042983782 1078948740 1438598320 1564475673 2085967564 2157897480 2607459455 3128951346 4171935128 4315794960 5214918910 6257902692 7822378365 8343870256 10429837820 12515805384 15518879377 15644756730 20859675640 25031610768 31037758754 31289513460 41719351280 46556638131 62075517508 62579026920 77594396885 93113276262 124151035016 125158053840 155188793770 186226552524 232783190655 248302070032 310377587540 372453105048 450047501933 465566381310 620755175080 744906210096 900095003866 931132762620 1241510350160 1350142505799 1800190007732 1862265525240 2250237509665 2700285011598 3600380015464 3724531050480 4500475019330 5400570023196 6750712528995 7200760030928 9000950038660 10801140046392 13501425057990 18001900077320 21602280092784 27002850115980 36003800154640 54005700231960 108011400463920