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50145111432 = 23321368378439
BaseRepresentation
bin101110101100111000…
…011010110110001000
311210102200212121002100
4232230320122312020
51310144122031212
635011503433400
73423433262103
oct565470326610
9153380777070
1050145111432
111a2a2676459
1298755b5860
134961b49790
1425d9b0573a
1514874aabdc
hexbace1ad88

50145111432 has 96 divisors (see below), whose sum is σ = 146472580800. Its totient is φ = 15406478208.

The previous prime is 50145111431. The next prime is 50145111439. The reversal of 50145111432 is 23411154105.

50145111432 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 511 + 143 + 2 = 666.

50145111432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 50145111396 and 50145111405.

It is not an unprimeable number, because it can be changed into a prime (50145111431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600069 + ... + 678507.

It is an arithmetic number, because the mean of its divisors is an integer number (1525756050).

Almost surely, 250145111432 is an apocalyptic number.

50145111432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50145111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73236290400).

50145111432 is an abundant number, since it is smaller than the sum of its proper divisors (96327469368).

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

50145111432 is a wasteful number, since it uses less digits than its factorization.

50145111432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79147 (or 79140 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 50145111432 its reverse (23411154105), we get a palindrome (73556265537).

The spelling of 50145111432 in words is "fifty billion, one hundred forty-five million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 683 936 1366 2049 2732 4098 5464 6147 8196 8879 12294 16392 17758 24588 26637 35516 49176 53274 71032 78439 79911 106548 156878 159822 213096 235317 313756 319644 470634 627512 639288 705951 941268 1019707 1411902 1882536 2039414 2823804 3059121 4078828 5647608 6118242 8157656 9177363 12236484 18354726 24472968 36709452 53573837 73418904 107147674 160721511 214295348 321443022 428590696 482164533 642886044 696459881 964329066 1285772088 1392919762 1928658132 2089379643 2785839524 3857316264 4178759286 5571679048 6268138929 8357518572 12536277858 16715037144 25072555716 50145111432