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49563974659680 = 253251312292154311
BaseRepresentation
bin10110100010100000000110…
…00110100110111001100000
320111111021021121112222201100
423101100003012212321200
522444024010003102210
6253225213045034400
713303610332242315
oct1321200306467140
9214437247488640
1049563974659680
1114879a66624368
1256859b69b5a00
132186b2a620a20
14c34ca2ab2d0c
155ae41569b5c0
hex2d14031a6e60

49563974659680 has 288 divisors, whose sum is σ = 182295899472960. Its totient is φ = 12190430269440.

The previous prime is 49563974659637. The next prime is 49563974659721. The reversal of 49563974659680 is 8695647936594.

49563974659680 is a `hidden beast` number, since 4 + 9 + 5 + 6 + 3 + 97 + 465 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 49563974659680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21929725 + ... + 24084035.

It is an arithmetic number, because the mean of its divisors is an integer number (632971873170).

Almost surely, 249563974659680 is an apocalyptic number.

49563974659680 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 49563974659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91147949736480).

49563974659680 is an abundant number, since it is smaller than the sum of its proper divisors (132731924813280).

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

49563974659680 is a wasteful number, since it uses less digits than its factorization.

49563974659680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155574 (or 2155563 counting only the distinct ones).

The product of its (nonzero) digits is 10581580800, while the sum is 81.

The spelling of 49563974659680 in words is "forty-nine trillion, five hundred sixty-three billion, nine hundred seventy-four million, six hundred fifty-nine thousand, six hundred eighty".