Search a number
-
+
479453997179920 = 24572929523029383
BaseRepresentation
bin110110100000011111001010…
…1001100000010010000010000
32022212121100120102111000221011
41231000332111030002100100
51000320333241234224140
64415414043044140304
7202663260002500330
oct15500762514022020
92285540512430834
10479453997179920
11129850331082774
1245935491697694
131776b4196673b9
1486579a94a70c0
153a66a73458cea
hex1b40f95302410

479453997179920 has 80 divisors (see below), whose sum is σ = 1317908031701760. Its totient is φ = 158715805957632.

The previous prime is 479453997179887. The next prime is 479453997179921. The reversal of 479453997179920 is 29971799354974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4794539971799202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (479453997179921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14761498452 + ... + 14761530931.

It is an arithmetic number, because the mean of its divisors is an integer number (16473850396272).

Almost surely, 2479453997179920 is an apocalyptic number.

479453997179920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

479453997179920 is an abundant number, since it is smaller than the sum of its proper divisors (838454034521840).

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

479453997179920 is a wasteful number, since it uses less digits than its factorization.

479453997179920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29523029432 (or 29523029426 counting only the distinct ones).

The product of its (nonzero) digits is 9721827360, while the sum is 85.

The spelling of 479453997179920 in words is "four hundred seventy-nine trillion, four hundred fifty-three billion, nine hundred ninety-seven million, one hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 29523029383 59046058766 118092117532 147615146915 206661205681 236184235064 295230293830 413322411362 472368470128 590460587660 826644822724 856167852107 1033306028405 1180921175320 1653289645448 1712335704214 2066612056810 2361842350640 3306579290896 3424671408428 4133224113620 4280839260535 5993174964749 6849342816856 8266448227240 8561678521070 11986349929498 13698685633712 16532896454480 17123357042140 23972699858996 29965874823745 34246714084280 47945399717992 59931749647490 68493428168560 95890799435984 119863499294980 239726998589960 479453997179920