Search a number
-
+
11480019679080 = 2333517625273403
BaseRepresentation
bin1010011100001110011001…
…1111101011011101101000
31111122110221022100220221000
42213003212133223131220
53001042040014212310
640225503115115000
72263255406140341
oct247034637533550
944573838326830
1011480019679080
113726715909597
121354aa3442a60
1365373ac97514
142b98c8d570c8
1514d94d15c4c0
hexa70e67eb768

11480019679080 has 128 divisors (see below), whose sum is σ = 40517716579200. Its totient is φ = 2881259836416.

The previous prime is 11480019679027. The next prime is 11480019679081. The reversal of 11480019679080 is 8097691008411.

11480019679080 is a `hidden beast` number, since 1 + 1 + 480 + 0 + 1 + 96 + 79 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11480019679081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312618342 + ... + 312655061.

It is an arithmetic number, because the mean of its divisors is an integer number (316544660775).

Almost surely, 211480019679080 is an apocalyptic number.

11480019679080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11480019679080 is an abundant number, since it is smaller than the sum of its proper divisors (29037696900120).

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

11480019679080 is a wasteful number, since it uses less digits than its factorization.

11480019679080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625273440 (or 625273430 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11480019679080 in words is "eleven trillion, four hundred eighty billion, nineteen million, six hundred seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 625273403 1250546806 1875820209 2501093612 3126367015 3751640418 5002187224 5627460627 6252734030 7503280836 9379101045 10629647851 11254921254 12505468060 15006561672 16882381881 18758202090 21259295702 22509842508 25010936120 28137303135 31888943553 33764763762 37516404180 42518591404 45019685016 53148239255 56274606270 63777887106 67529527524 75032808360 84411909405 85037182808 95666830659 106296478510 112549212540 127555774212 135059055048 159444717765 168823818810 191333661318 212592957020 225098425080 255111548424 287000491977 318889435530 337647637620 382667322636 425185914040 478334153295 574000983954 637778871060 675295275240 765334645272 956668306590 1148001967908 1275557742120 1435002459885 1913336613180 2296003935816 2870004919770 3826673226360 5740009839540 11480019679080