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247074056040 = 233573143263839
BaseRepresentation
bin1110011000011011000…
…0101110011101101000
3212121202000102111120110
43212012300232131220
513022001424243130
6305300530254320
723564503552620
oct3460660563550
9777660374513
10247074056040
1195868955249
123ba747273a0
131a3b6b363c6
14bd5bda5880
156661002ab0
hex3986c2e768

247074056040 has 512 divisors, whose sum is σ = 899245670400. Its totient is φ = 53114987520.

The previous prime is 247074055981. The next prime is 247074056059. The reversal of 247074056040 is 40650470742.

247074056040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2470740560402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247074056040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 294485941 + ... + 294486779.

It is an arithmetic number, because the mean of its divisors is an integer number (1756339200).

Almost surely, 2247074056040 is an apocalyptic number.

247074056040 is a gapful number since it is divisible by the number (20) 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 247074056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449622835200).

247074056040 is an abundant number, since it is smaller than the sum of its proper divisors (652171614360).

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

247074056040 is a wasteful number, since it uses less digits than its factorization.

247074056040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 247074056040 in words is "two hundred forty-seven billion, seventy-four million, fifty-six thousand, forty".