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47924087640 = 233511213307827
BaseRepresentation
bin101100101000011111…
…111000101101011000
311120200220121220012220
4230220133320231120
51241122031301030
634003243304040
73314414011062
oct545037705530
9146626556186
1047924087640
1119362997400
12935581b020
134699966a10
142468b54732
1513a74d9a10
hexb287f8b58

47924087640 has 384 divisors, whose sum is σ = 170947687680. Its totient is φ = 10676413440.

The previous prime is 47924087621. The next prime is 47924087647. The reversal of 47924087640 is 4678042974.

It is a happy number.

It is a super-2 number, since 2×479240876402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47924087647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 57948907 + ... + 57949733.

It is an arithmetic number, because the mean of its divisors is an integer number (445176270).

Almost surely, 247924087640 is an apocalyptic number.

47924087640 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 47924087640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85473843840).

47924087640 is an abundant number, since it is smaller than the sum of its proper divisors (123023600040).

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

47924087640 is a wasteful number, since it uses less digits than its factorization.

47924087640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 47924087640 in words is "forty-seven billion, nine hundred twenty-four million, eighty-seven thousand, six hundred forty".