Search a number
-
+
80482404420 = 223251170957331
BaseRepresentation
bin100101011110100100…
…0000000100001000100
321200201221211202110100
41022331020000201010
52304311443420140
6100550105124100
75546300102325
oct1127510004104
9250657752410
1080482404420
1131150245720
1213721489630
137788069012
143c76c7044c
152160a0d530
hex12bd200844

80482404420 has 144 divisors (see below), whose sum is σ = 266703877440. Its totient is φ = 19483027200.

The previous prime is 80482404271. The next prime is 80482404421. The reversal of 80482404420 is 2440428408.

80482404420 is a `hidden beast` number, since 80 + 482 + 40 + 44 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80482404421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1375155 + ... + 1432485.

It is an arithmetic number, because the mean of its divisors is an integer number (1852110260).

Almost surely, 280482404420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80482404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133351938720).

80482404420 is an abundant number, since it is smaller than the sum of its proper divisors (186221473020).

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

80482404420 is a wasteful number, since it uses less digits than its factorization.

80482404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58066 (or 58061 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 80482404420 in words is "eighty billion, four hundred eighty-two million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 709 990 1418 1980 2127 2836 3545 4254 6381 7090 7799 8508 10635 12762 14180 15598 21270 23397 25524 31196 31905 38995 42540 46794 57331 63810 70191 77990 93588 114662 116985 127620 140382 155980 171993 229324 233970 280764 286655 343986 350955 467940 515979 573310 630641 687972 701910 859965 1031958 1146620 1261282 1403820 1719930 1891923 2063916 2522564 2579895 3153205 3439860 3783846 5159790 5675769 6306410 7567692 9459615 10319580 11351538 12612820 18919230 22703076 28378845 37838460 40647679 56757690 81295358 113515380 121943037 162590716 203238395 243886074 365829111 406476790 447124469 487772148 609715185 731658222 812953580 894248938 1219430370 1341373407 1463316444 1788497876 1829145555 2235622345 2438860740 2682746814 3658291110 4024120221 4471244690 5365493628 6706867035 7316582220 8048240442 8942489380 13413734070 16096480884 20120601105 26827468140 40241202210 80482404420