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104745506000 = 2453294341999
BaseRepresentation
bin110000110001101010…
…0011001010011010000
3101000100220011000200012
41201203110121103100
53204004322143000
6120041443414052
710365456052652
oct1414324312320
9330326130605
10104745506000
114047111aa93
1218373084328
139b53a14265
1450d93d66d2
152ad0b70735
hex18635194d0

104745506000 has 160 divisors (see below), whose sum is σ = 268107840000. Its totient is φ = 39511718400.

The previous prime is 104745505951. The next prime is 104745506003. The reversal of 104745506000 is 605547401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104745506003) 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, 2473001 + ... + 2514999.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674000).

Almost surely, 2104745506000 is an apocalyptic number.

104745506000 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 104745506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920000).

104745506000 is an abundant number, since it is smaller than the sum of its proper divisors (163362334000).

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

104745506000 is a wasteful number, since it uses less digits than its factorization.

104745506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42094 (or 42078 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 104745506000 in words is "one hundred four billion, seven hundred forty-five million, five hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 43 50 58 80 86 100 116 125 145 172 200 215 232 250 290 344 400 430 464 500 580 688 725 860 1000 1075 1160 1247 1450 1720 2000 2150 2320 2494 2900 3440 3625 4300 4988 5375 5800 6235 7250 8600 9976 10750 11600 12470 14500 17200 19952 21500 24940 29000 31175 41999 43000 49880 58000 62350 83998 86000 99760 124700 155875 167996 209995 249400 311750 335992 419990 498800 623500 671984 839980 1049975 1217971 1247000 1679960 1805957 2099950 2435942 2494000 3359920 3611914 4199900 4871884 5249875 6089855 7223828 8399800 9029785 9743768 10499750 12179710 14447656 16799600 18059570 19487536 20999500 24359420 28895312 30449275 36119140 41999000 45148925 48718840 52372753 60898550 72238280 83998000 90297850 97437680 104745506 121797100 144476560 152246375 180595700 209491012 225744625 243594200 261863765 304492750 361191400 418982024 451489250 487188400 523727530 608985500 722382800 837964048 902978500 1047455060 1217971000 1309318825 1805957000 2094910120 2435942000 2618637650 3611914000 4189820240 5237275300 6546594125 10474550600 13093188250 20949101200 26186376500 52372753000 104745506000