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1085387875740 = 2232577879109331
BaseRepresentation
bin11111100101101100010…
…10001010010110011100
310211202120112202221112100
433302312022022112130
5120240333244010430
62150341553005100
7141262631502120
oct17626612122634
93752515687470
101085387875740
11389346183843
12156432253790
137b4757170bc
143a7669ad580
151d377c57960
hexfcb628a59c

1085387875740 has 144 divisors (see below), whose sum is σ = 3763189946880. Its totient is φ = 248054901120.

The previous prime is 1085387875739. The next prime is 1085387875757. The reversal of 1085387875740 is 475787835801.

1085387875740 is a `hidden beast` number, since 1 + 0 + 8 + 53 + 8 + 7 + 8 + 7 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 9872875 + ... + 9982205.

It is an arithmetic number, because the mean of its divisors is an integer number (26133263520).

Almost surely, 21085387875740 is an apocalyptic number.

1085387875740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085387875740 is an abundant number, since it is smaller than the sum of its proper divisors (2677802071140).

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

1085387875740 is a wasteful number, since it uses less digits than its factorization.

1085387875740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117232 (or 117227 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 1085387875740 in words is "one trillion, eighty-five billion, three hundred eighty-seven million, eight hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 7879 15758 23637 31516 39395 47274 55153 70911 78790 94548 109331 110306 118185 141822 157580 165459 218662 220612 236370 275765 283644 327993 330918 354555 437324 472740 496377 546655 551530 655986 661836 709110 765317 827295 983979 992754 1093310 1103060 1311972 1418220 1530634 1639965 1654590 1967958 1985508 2186620 2295951 2481885 3061268 3279930 3309180 3826585 3935916 4591902 4919895 4963770 6559860 6887853 7653170 9183804 9839790 9927540 11479755 13775706 15306340 19679580 22959510 27551412 34439265 45919020 68878530 137757060 861418949 1722837898 2584256847 3445675796 4307094745 5168513694 6029932643 7752770541 8614189490 10337027388 12059865286 12921284235 15505541082 17228378980 18089797929 24119730572 25842568470 30149663215 31011082164 36179595858 38763852705 51685136940 54269393787 60299326430 72359191716 77527705410 90448989645 108538787574 120598652860 155055410820 180897979290 217077575148 271346968935 361795958580 542693937870 1085387875740