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50687729400 = 233527113173461
BaseRepresentation
bin101111001101001110…
…010101111011111000
311211211111220110000010
4233031032111323320
51312302024320100
635141405541520
73443042406510
oct571516257370
9154744813003
1050687729400
111a5509a1360
1299a72748a0
134a1a3a3bb9
14264bbd2840
1514b9e41750
hexbcd395ef8

50687729400 has 384 divisors, whose sum is σ = 196579560960. Its totient is φ = 10496256000.

The previous prime is 50687729359. The next prime is 50687729419. The reversal of 50687729400 is 492778605.

It is a self number, because there is not a number n which added to its sum of digits gives 50687729400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14643670 + ... + 14647130.

It is an arithmetic number, because the mean of its divisors is an integer number (511925940).

Almost surely, 250687729400 is an apocalyptic number.

50687729400 is a gapful number since it is divisible by the number (50) 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 50687729400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98289780480).

50687729400 is an abundant number, since it is smaller than the sum of its proper divisors (145891831560).

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

50687729400 is a wasteful number, since it uses less digits than its factorization.

50687729400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

It can be divided in two parts, 50687 and 729400, that added together give a palindrome (780087).

The spelling of 50687729400 in words is "fifty billion, six hundred eighty-seven million, seven hundred twenty-nine thousand, four hundred".