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47794053120 = 2133511191861
BaseRepresentation
bin101100100000101111…
…110110000000000000
311120100211221110101120
4230200233312000000
51240340234144440
633542320232240
73311244514512
oct544057660000
9146324843346
1047794053120
11192a6551560
12931a16b680
134678a38608
142455785bb2
15139ada0dd0
hexb20bf6000

47794053120 has 448 divisors, whose sum is σ = 175709640960. Its totient is φ = 10970726400.

The previous prime is 47794053029. The next prime is 47794053121. The reversal of 47794053120 is 2135049774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47794053121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25680990 + ... + 25682850.

It is an arithmetic number, because the mean of its divisors is an integer number (392209020).

Almost surely, 247794053120 is an apocalyptic number.

47794053120 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 47794053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87854820480).

47794053120 is an abundant number, since it is smaller than the sum of its proper divisors (127915587840).

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

47794053120 is a wasteful number, since it uses less digits than its factorization.

47794053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 47794053120 in words is "forty-seven billion, seven hundred ninety-four million, fifty-three thousand, one hundred twenty".