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104483033640 = 23325312302009
BaseRepresentation
bin110000101001110101…
…1001001001000101000
3100222200121021001021200
41201103223021020220
53202440124034030
6115555430004200
710356121063266
oct1412353111050
9328617231250
10104483033640
1140346a48687
12182bb1a6660
139b1152587b
1450b25d1436
152ab7ac5d60
hex1853ac9228

104483033640 has 144 divisors (see below), whose sum is σ = 350878238100. Its totient is φ = 26963274240.

The previous prime is 104483033573. The next prime is 104483033653. The reversal of 104483033640 is 46330384401.

It is a happy number.

104483033640 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 8 + 3 + 0 + 3 + 3 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85384346436 + 19098687204 = 292206^2 + 138198^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 104483033595 and 104483033604.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194956 + ... + 496964.

Almost surely, 2104483033640 is an apocalyptic number.

104483033640 is a gapful number since it is divisible by the number (10) 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 104483033640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175439119050).

104483033640 is an abundant number, since it is smaller than the sum of its proper divisors (246395204460).

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

104483033640 is a wasteful number, since it uses less digits than its factorization.

104483033640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302088 (or 302050 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 104483033640 in words is "one hundred four billion, four hundred eighty-three million, thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 961 1116 1240 1395 1860 1922 2232 2790 2883 3720 3844 4805 5580 5766 7688 8649 9610 11160 11532 14415 17298 19220 23064 28830 34596 38440 43245 57660 69192 86490 115320 172980 302009 345960 604018 906027 1208036 1510045 1812054 2416072 2718081 3020090 3624108 4530135 5436162 6040180 7248216 9060270 9362279 10872324 12080360 13590405 18120540 18724558 21744648 27180810 28086837 36241080 37449116 46811395 54361620 56173674 74898232 84260511 93622790 108723240 112347348 140434185 168521022 187245580 224694696 280868370 290230649 337042044 374491160 421302555 561736740 580461298 674084088 842605110 870691947 1123473480 1160922596 1451153245 1685210220 1741383894 2321845192 2612075841 2902306490 3370420440 3482767788 4353459735 5224151682 5804612980 6965535576 8706919470 10448303364 11609225960 13060379205 17413838940 20896606728 26120758410 34827677880 52241516820 104483033640