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48080462961216 = 263725110593427
BaseRepresentation
bin10101110111010100110101…
…11010100101101001000000
320022020110002010120100120110
422323222122322211221000
522300222242004224331
6250131505412511320
713061461456665600
oct1273523272455100
9208213063510513
1048080462961216
111435789a982a64
12548639591b540
1320a9c781aaa7a
14bc316d1a6c00
15585a3aaee946
hex2bba9aea5a40

48080462961216 has 84 divisors (see below), whose sum is σ = 147982343301168. Its totient is φ = 13737275129088.

The previous prime is 48080462961197. The next prime is 48080462961217. The reversal of 48080462961216 is 61216926408084.

48080462961216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×480804629612163 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48080462961217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2555287306 + ... + 2555306121.

Almost surely, 248080462961216 is an apocalyptic number.

It is an amenable number.

48080462961216 is an abundant number, since it is smaller than the sum of its proper divisors (99901880339952).

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

48080462961216 is a wasteful number, since it uses less digits than its factorization.

48080462961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110593456 (or 5110593439 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 48080462961216 in words is "forty-eight trillion, eighty billion, four hundred sixty-two million, nine hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 5110593427 10221186854 15331780281 20442373708 30663560562 35774153989 40884747416 61327121124 71548307978 81769494832 107322461967 122654242248 143096615956 163538989664 214644923934 245308484496 250419077923 286193231912 327077979328 429289847868 490616968992 500838155846 572386463824 751257233769 858579695736 981233937984 1001676311692 1144772927648 1502514467538 1717159391472 2003352623384 2289545855296 3005028935076 3434318782944 4006705246768 6010057870152 6868637565888 8013410493536 12020115740304 16026820987072 24040231480608 48080462961216