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48486100068 = 2235715234679
BaseRepresentation
bin101101001001111111…
…110010110001100100
311122011002011002100000
4231021333302301210
51243244420200233
634135121221300
73334350023220
oct551177626144
9148132132300
1048486100068
111962115968a
129491a91830
134759221a53
1424bd64d780
1513dba01d13
hexb49ff2c64

48486100068 has 144 divisors (see below), whose sum is σ = 145385210880. Its totient is φ = 13841116704.

The previous prime is 48486100067. The next prime is 48486100073. The reversal of 48486100068 is 86000168484.

48486100068 is a `hidden beast` number, since 4 + 8 + 486 + 100 + 0 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48486099996 and 48486100032.

It is not an unprimeable number, because it can be changed into a prime (48486100063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10360153 + ... + 10364831.

It is an arithmetic number, because the mean of its divisors is an integer number (1009619520).

Almost surely, 248486100068 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 48486100068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72692605440).

48486100068 is an abundant number, since it is smaller than the sum of its proper divisors (96899110812).

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

48486100068 is a wasteful number, since it uses less digits than its factorization.

48486100068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 48486100068 in words is "forty-eight billion, four hundred eighty-six million, one hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1523 1701 2268 3046 3402 4569 4679 6092 6804 9138 9358 10661 13707 14037 18276 18716 21322 27414 28074 31983 32753 41121 42111 42644 54828 56148 63966 65506 82242 84222 95949 98259 123363 126333 127932 131012 164484 168444 191898 196518 246726 252666 287847 294777 370089 378999 383796 393036 493452 505332 575694 589554 740178 757998 863541 884331 1136997 1151388 1179108 1480356 1515996 1727082 1768662 2273994 2590623 2652993 3454164 3537324 4547988 5181246 5305986 7126117 7958979 10362492 10611972 14252234 15917958 21378351 28504468 31835916 42756702 49882819 64135053 85513404 99765638 128270106 149648457 192405159 199531276 256540212 299296914 384810318 448945371 577215477 598593828 769620636 897890742 1154430954 1346836113 1731646431 1795781484 2308861908 2693672226 3463292862 4040508339 5387344452 6926585724 8081016678 12121525017 16162033356 24243050034 48486100068