Search a number
-
+
45546085980 = 223251931429599
BaseRepresentation
bin101010011010110000…
…100001111001011100
311100120011222220012100
4222122300201321130
51221234244222410
632531254405100
73201450225453
oct523260417134
9140504886170
1045546085980
111835263a57a
1289b1360790
1343ab0b0c45
1422c0dbdb9a
1512b885b8c0
hexa9ac21e5c

45546085980 has 144 divisors (see below), whose sum is σ = 150119424000. Its totient is φ = 11135180160.

The previous prime is 45546085979. The next prime is 45546086009. The reversal of 45546085980 is 8958064554.

45546085980 is a `hidden beast` number, since 4 + 5 + 5 + 46 + 0 + 8 + 598 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108780 + ... + 320819.

It is an arithmetic number, because the mean of its divisors is an integer number (1042496000).

Almost surely, 245546085980 is an apocalyptic number.

It is an amenable number.

45546085980 is an abundant number, since it is smaller than the sum of its proper divisors (104573338020).

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

45546085980 is a wasteful number, since it uses less digits than its factorization.

45546085980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429664 (or 429659 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 45546085980 in words is "forty-five billion, five hundred forty-six million, eighty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 114 124 155 171 180 186 190 228 279 285 310 342 372 380 465 558 570 589 620 684 855 930 1116 1140 1178 1395 1710 1767 1860 2356 2790 2945 3420 3534 5301 5580 5890 7068 8835 10602 11780 17670 21204 26505 35340 53010 106020 429599 859198 1288797 1718396 2147995 2577594 3866391 4295990 5155188 6443985 7732782 8162381 8591980 12887970 13317569 15465564 16324762 19331955 24487143 25775940 26635138 32649524 38663910 39952707 40811905 48974286 53270276 66587845 73461429 77327820 79905414 81623810 97948572 119858121 122435715 133175690 146922858 159810828 163247620 199763535 239716242 244871430 253033811 266351380 293845716 367307145 399527070 479432484 489742860 506067622 599290605 734614290 759101433 799054140 1012135244 1198581210 1265169055 1469228580 1518202866 2277304299 2397162420 2530338110 3036405732 3795507165 4554608598 5060676220 7591014330 9109217196 11386521495 15182028660 22773042990 45546085980