Search a number
-
+
10132284256080 = 243579733619657
BaseRepresentation
bin1001001101110001101100…
…1101000010111101010000
31022212122012022101201201020
42103130123031002331100
52312001404232143310
633314412423435440
72064014310101340
oct223343315027520
938778168351636
1010132284256080
113257094350598
1211778555b5b80
1358661635206c
14270595b28d20
1512886d5b8170
hex9371b342f50

10132284256080 has 160 divisors (see below), whose sum is σ = 35900981785344. Its totient is φ = 2315709001728.

The previous prime is 10132284256019. The next prime is 10132284256187. The reversal of 10132284256080 is 8065248223101.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16041612 + ... + 16661268.

Almost surely, 210132284256080 is an apocalyptic number.

10132284256080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132284256080 is an abundant number, since it is smaller than the sum of its proper divisors (25768697529264).

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

10132284256080 is a wasteful number, since it uses less digits than its factorization.

10132284256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629413 (or 629407 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 10132284256080 in words is "ten trillion, one hundred thirty-two billion, two hundred eighty-four million, two hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 9733 19466 29199 38932 48665 58398 68131 77864 97330 116796 136262 145995 155728 194660 204393 233592 272524 291990 340655 389320 408786 467184 545048 583980 619657 681310 778640 817572 1021965 1090096 1167960 1239314 1362620 1635144 1858971 2043930 2335920 2478628 2725240 3098285 3270288 3717942 4087860 4337599 4957256 5450480 6196570 7435884 8175720 8675198 9294855 9914512 12393140 13012797 14871768 16351440 17350396 18589710 21687995 24786280 26025594 29743536 34700792 37179420 43375990 49572560 52051188 65063985 69401584 74358840 86751980 104102376 130127970 148717680 173503960 208204752 260255940 347007920 520511880 1041023760 6031121581 12062243162 18093364743 24124486324 30155607905 36186729486 42217851067 48248972648 60311215810 72373458972 84435702134 90466823715 96497945296 120622431620 126653553201 144746917944 168871404268 180933647430 211089255335 241244863240 253307106402 289493835888 337742808536 361867294860 422178510670 482489726480 506614212804 633267766005 675485617072 723734589720 844357021340 1013228425608 1266535532010 1447469179440 1688714042680 2026456851216 2533071064020 3377428085360 5066142128040 10132284256080