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47348398368 = 2536172329179
BaseRepresentation
bin101100000110001011…
…110011100100100000
311112012210100212000000
4230012023303210200
51233432142221433
633430200300000
73264223513515
oct540613634440
9145183325000
1047348398368
1119097a33547
129214a71600
13460760068b
1424124d930c
151371bc0113
hexb062f3920

47348398368 has 672 divisors, whose sum is σ = 160634275200. Its totient is φ = 13641965568.

The previous prime is 47348398343. The next prime is 47348398399. The reversal of 47348398368 is 86389384374.

47348398368 is a `hidden beast` number, since 4 + 7 + 3 + 483 + 98 + 3 + 68 = 666.

It is a super-3 number, since 3×473483983683 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 264516103 + ... + 264516281.

It is an arithmetic number, because the mean of its divisors is an integer number (239039100).

Almost surely, 247348398368 is an apocalyptic number.

47348398368 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 47348398368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80317137600).

47348398368 is an abundant number, since it is smaller than the sum of its proper divisors (113285876832).

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

47348398368 is a wasteful number, since it uses less digits than its factorization.

47348398368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 47348398368 in words is "forty-seven billion, three hundred forty-eight million, three hundred ninety-eight thousand, three hundred sixty-eight".