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47310202368 = 29321121361107
BaseRepresentation
bin101100000011111010…
…000110011000000000
311112010010111021221100
4230003322012120000
51233342402433433
633422313454400
73263251041102
oct540372063000
9145103437840
1047310202368
1119078415300
129204111400
1345cc718cb0
14240b3d5572
15136d677b13
hexb03e86600

47310202368 has 720 divisors, whose sum is σ = 165811293648. Its totient is φ = 12895027200.

The previous prime is 47310202351. The next prime is 47310202399. The reversal of 47310202368 is 86320201374.

It is a happy number.

47310202368 is a `hidden beast` number, since 473 + 102 + 0 + 23 + 68 = 666.

It is a super-2 number, since 2×473102023682 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 442151371 + ... + 442151477.

Almost surely, 247310202368 is an apocalyptic number.

47310202368 is a gapful number since it is divisible by the number (48) 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 47310202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82905646824).

47310202368 is an abundant number, since it is smaller than the sum of its proper divisors (118501091280).

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

47310202368 is a wasteful number, since it uses less digits than its factorization.

47310202368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 47310202368 in words is "forty-seven billion, three hundred ten million, two hundred two thousand, three hundred sixty-eight".