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47981137344 = 26373159131149
BaseRepresentation
bin101100101011111001…
…100000110111000000
311120211212222022200220
4230223321200313000
51241231132343334
634013042143040
73316005636540
oct545371406700
9146755868626
1047981137344
1119392112718
129370951a80
1346a871cb3a
142472565320
1513ac508449
hexb2be60dc0

47981137344 has 448 divisors, whose sum is σ = 154497024000. Its totient is φ = 12855398400.

The previous prime is 47981137289. The next prime is 47981137349. The reversal of 47981137344 is 44373118974.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (2032128) is a multiple of the sum of its prime factors (392).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47981137349) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 322020982 + ... + 322021130.

Almost surely, 247981137344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47981137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248512000).

47981137344 is an abundant number, since it is smaller than the sum of its proper divisors (106515886656).

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

47981137344 is a wasteful number, since it uses less digits than its factorization.

47981137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 47981137344 in words is "forty-seven billion, nine hundred eighty-one million, one hundred thirty-seven thousand, three hundred forty-four".