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50114029680 = 243251113237441
BaseRepresentation
bin101110101011000001…
…110110100001110000
311210100112101110221100
4232223001312201300
51310113142422210
635004433324400
73422605136541
oct565301664160
9153315343840
1050114029680
111a287077260
129867106700
134958586300
1425d59344c8
1514848bb5c0
hexbab076870

50114029680 has 360 divisors, whose sum is σ = 198814324176. Its totient is φ = 11214028800.

The previous prime is 50114029663. The next prime is 50114029703. The reversal of 50114029680 is 8692041105.

50114029680 is a `hidden beast` number, since 501 + 140 + 2 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×501140296802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1319760 + ... + 1357200.

Almost surely, 250114029680 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 50114029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99407162088).

50114029680 is an abundant number, since it is smaller than the sum of its proper divisors (148700294496).

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

50114029680 is a wasteful number, since it uses less digits than its factorization.

50114029680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37497 (or 37475 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 50114029680 in words is "fifty billion, one hundred fourteen million, twenty-nine thousand, six hundred eighty".