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48106862423064 = 23325237127582751
BaseRepresentation
bin10101111000000110000000…
…11100100010110000011000
320022022222012221210222010200
422330003000130202300120
522301140323240014224
6250151553144542200
713063414616501634
oct1274030034426030
9208288187728120
1048106862423064
1114368007770425
12548b522a81960
1320ac5c4634b03
14bc4555361dc4
155865835ac5c9
hex2bc0c0722c18

48106862423064 has 48 divisors (see below), whose sum is σ = 130314298720320. Its totient is φ = 16032558696000.

The previous prime is 48106862423029. The next prime is 48106862423077. The reversal of 48106862423064 is 46032426860184.

It is a happy number.

48106862423064 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 6 + 8 + 624 + 2 + 3 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×481068624230643 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48106862423064.

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 11 ways as a sum of consecutive naturals, for example, 63414312 + ... + 64168439.

It is an arithmetic number, because the mean of its divisors is an integer number (2714881223340).

Almost surely, 248106862423064 is an apocalyptic number.

It is an amenable number.

48106862423064 is an abundant number, since it is smaller than the sum of its proper divisors (82207436297256).

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

48106862423064 is a wasteful number, since it uses less digits than its factorization.

48106862423064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127588000 (or 127587993 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 48106862423064 in words is "forty-eight trillion, one hundred six billion, eight hundred sixty-two million, four hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5237 10474 15711 20948 31422 41896 47133 62844 94266 125688 188532 377064 127582751 255165502 382748253 510331004 765496506 1020662008 1148244759 1530993012 2296489518 3061986024 4592979036 9185958072 668150866987 1336301733974 2004452600961 2672603467948 4008905201922 5345206935896 6013357802883 8017810403844 12026715605766 16035620807688 24053431211532 48106862423064