Search a number
-
+
50461672140 = 2233511291971487
BaseRepresentation
bin101110111111110000…
…000000001011001100
311211020202112112202000
4232333300000023030
51311321142002030
635103132432300
73434326064445
oct567760001314
9154222475660
1050461672140
111a445331180
129943618690
1349b25c53c9
142629b8a2cc
1514a518b860
hexbbfc002cc

50461672140 has 384 divisors, whose sum is σ = 178188595200. Its totient is φ = 11743441920.

The previous prime is 50461672123. The next prime is 50461672171. The reversal of 50461672140 is 4127616405.

50461672140 is a `hidden beast` number, since 50 + 461 + 6 + 7 + 2 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 50461672095 and 50461672104.

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 127 ways as a sum of consecutive naturals, for example, 33934477 + ... + 33935963.

It is an arithmetic number, because the mean of its divisors is an integer number (464032800).

Almost surely, 250461672140 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 50461672140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89094297600).

50461672140 is an abundant number, since it is smaller than the sum of its proper divisors (127726923060).

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

50461672140 is a wasteful number, since it uses less digits than its factorization.

50461672140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 50461672140 in words is "fifty billion, four hundred sixty-one million, six hundred seventy-two thousand, one hundred forty".