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49130269856640 = 27375717217351
BaseRepresentation
bin10110010101111000010000…
…10010000101001110000000
320102221210210222110020000000
423022330020102011032000
522414422243040403030
6252254045010000000
713230354613242360
oct1312741022051600
9212853728406000
1049130269856640
1114722037568645
125615937b76000
132154c7020475b
14c1bcbc4349a0
155a2ececb4860
hex2caf08485380

49130269856640 has 1536 divisors, whose sum is σ = 213866703820800. Its totient is φ = 10568591769600.

The previous prime is 49130269856611. The next prime is 49130269856741. The reversal of 49130269856640 is 4665896203194.

49130269856640 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 0 + 2 + 69 + 8 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 2831543965 + ... + 2831561315.

It is an arithmetic number, because the mean of its divisors is an integer number (139236135300).

Almost surely, 249130269856640 is an apocalyptic number.

49130269856640 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 49130269856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106933351910400).

49130269856640 is an abundant number, since it is smaller than the sum of its proper divisors (164736433964160).

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

49130269856640 is an equidigital number, since it uses as much as digits as its factorization.

49130269856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17432 (or 17385 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 49130269856640 in words is "forty-nine trillion, one hundred thirty billion, two hundred sixty-nine million, eight hundred fifty-six thousand, six hundred forty".