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3855945600472 = 237192201194847
BaseRepresentation
bin111000000111001000010…
…001001000110111011000
3111122121212110220222121111
4320013020101020313120
51001133434033203342
612111221424150104
7545403632550040
oct70071021106730
914577773828544
103855945600472
11125732a849119
12523384468334
1321c7ca279284
14d48b347a720
156a47e36a217
hex381c8448dd8

3855945600472 has 96 divisors (see below), whose sum is σ = 8724938526720. Its totient is φ = 1564776895680.

The previous prime is 3855945600449. The next prime is 3855945600527. The reversal of 3855945600472 is 2740065495583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40606953 + ... + 40701799.

It is an arithmetic number, because the mean of its divisors is an integer number (90884776320).

Almost surely, 23855945600472 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 3855945600472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362469263360).

3855945600472 is an abundant number, since it is smaller than the sum of its proper divisors (4868992926248).

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

3855945600472 is a wasteful number, since it uses less digits than its factorization.

3855945600472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96909 (or 96886 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 3855945600472 in words is "three trillion, eight hundred fifty-five billion, nine hundred forty-five million, six hundred thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2011 2527 2888 4022 5054 8044 10108 14077 16088 20216 28154 38209 56308 76418 94847 112616 152836 189694 267463 305672 379388 534926 663929 725971 758776 1069852 1327858 1451942 1802093 2139704 2655716 2903884 3604186 5081797 5311432 5807768 7208372 10163594 12614651 14416744 20327188 25229302 34239767 40654376 50458604 68479534 100917208 136959068 190737317 239678369 273918136 381474634 479356738 762949268 958713476 1335161219 1525898536 1917426952 2670322438 3624009023 5340644876 7248018046 10681289752 14496036092 25368063161 28992072184 50736126322 68856171437 101472252644 137712342874 202944505288 275424685748 481993200059 550849371496 963986400118 1927972800236 3855945600472