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48323619342 = 23237411998893
BaseRepresentation
bin101101000000010011…
…111110101000001110
311121201202102012200100
4231000103332220032
51242431321304332
634111034511530
73330334662405
oct550023765016
9147652365610
1048323619342
1119548472499
1294475955a6
1347316730cb
1424a5c3663c
1513cc60967c
hexb404fea0e

48323619342 has 96 divisors (see below), whose sum is σ = 110719627200. Its totient is φ = 15211722240.

The previous prime is 48323619307. The next prime is 48323619349. The reversal of 48323619342 is 24391632384.

48323619342 is a `hidden beast` number, since 4 + 8 + 3 + 23 + 619 + 3 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48323619349) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5429448 + ... + 5438340.

It is an arithmetic number, because the mean of its divisors is an integer number (1153329450).

Almost surely, 248323619342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48323619342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55359813600).

48323619342 is an abundant number, since it is smaller than the sum of its proper divisors (62396007858).

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

48323619342 is a wasteful number, since it uses less digits than its factorization.

48323619342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9175 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 48323619342 in words is "forty-eight billion, three hundred twenty-three million, six hundred nineteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 199 222 246 333 369 398 597 666 738 1194 1517 1791 3034 3582 4551 7363 8159 8893 9102 13653 14726 16318 17786 22089 24477 26679 27306 44178 48954 53358 66267 73431 80037 132534 146862 160074 301883 329041 364613 603766 658082 729226 905649 987123 1093839 1769707 1811298 1974246 2187678 2716947 2961369 3281517 3539414 5309121 5433894 5922738 6563034 10618242 13490681 15927363 26981362 31854726 40472043 65479159 72557987 80944086 121416129 130958318 145115974 196437477 217673961 242832258 392874954 435347922 589312431 653021883 1178624862 1306043766 2684645519 5369291038 8053936557 16107873114 24161809671 48323619342