Search a number
-
+
44509474920 = 23352959216781
BaseRepresentation
bin101001011100111110…
…001011000001101000
311020212221102121011010
4221130332023001220
51212123411144140
632240344303520
73133662203001
oct513476130150
9136787377133
1044509474920
1117970490319
128762171ba0
1342743c5911
1422234621a8
151257847880
hexa5cf8b068

44509474920 has 128 divisors (see below), whose sum is σ = 140474736000. Its totient is φ = 11265623040.

The previous prime is 44509474901. The next prime is 44509474943. The reversal of 44509474920 is 2947490544.

It is a self number, because there is not a number n which added to its sum of digits gives 44509474920.

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 31 ways as a sum of consecutive naturals, for example, 96930 + ... + 313710.

It is an arithmetic number, because the mean of its divisors is an integer number (1097458875).

Almost surely, 244509474920 is an apocalyptic number.

44509474920 is a gapful number since it is divisible by the number (40) 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 44509474920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70237368000).

44509474920 is an abundant number, since it is smaller than the sum of its proper divisors (95965261080).

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

44509474920 is a wasteful number, since it uses less digits than its factorization.

44509474920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216883 (or 216879 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 44509474920 in words is "forty-four billion, five hundred nine million, four hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 59 60 87 116 118 120 145 174 177 232 236 290 295 348 354 435 472 580 590 696 708 870 885 1160 1180 1416 1711 1740 1770 2360 3422 3480 3540 5133 6844 7080 8555 10266 13688 17110 20532 25665 34220 41064 51330 68440 102660 205320 216781 433562 650343 867124 1083905 1300686 1734248 2167810 2601372 3251715 4335620 5202744 6286649 6503430 8671240 12573298 12790079 13006860 18859947 25146596 25580158 26013720 31433245 37719894 38370237 50293192 51160316 62866490 63950395 75439788 76740474 94299735 102320632 125732980 127900790 150879576 153480948 188599470 191851185 251465960 255801580 306961896 370912291 377198940 383702370 511603160 741824582 754397880 767404740 1112736873 1483649164 1534809480 1854561455 2225473746 2967298328 3709122910 4450947492 5563684365 7418245820 8901894984 11127368730 14836491640 22254737460 44509474920