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49474160640 = 2113351271409
BaseRepresentation
bin101110000100111000…
…111100100000000000
311201200221100202122000
4232010320330200000
51302310341120030
634421134544000
73401005266252
oct560470744000
9151627322560
1049474160640
1119a88968173
129708968000
134885b3b688
14257496dcd2
151448625860
hexb84e3c800

49474160640 has 384 divisors, whose sum is σ = 177375744000. Its totient is φ = 13079937024.

The previous prime is 49474160609. The next prime is 49474160657. The reversal of 49474160640 is 4606147494.

49474160640 is a `hidden beast` number, since 494 + 7 + 41 + 60 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35112256 + ... + 35113664.

It is an arithmetic number, because the mean of its divisors is an integer number (461916000).

Almost surely, 249474160640 is an apocalyptic number.

49474160640 is a gapful number since it is divisible by the number (40) 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 49474160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88687872000).

49474160640 is an abundant number, since it is smaller than the sum of its proper divisors (127901583360).

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

49474160640 is a wasteful number, since it uses less digits than its factorization.

49474160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 49474160640 in words is "forty-nine billion, four hundred seventy-four million, one hundred sixty thousand, six hundred forty".