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47909111040 = 2833572191489
BaseRepresentation
bin101100100111100110…
…110000010100000000
311120122212110000012000
4230213212300110000
51241104213023130
634001550304000
73314142503400
oct544746602400
9146585400160
1047909111040
111935549824a
1293507b8000
134696821c1b
142466b76800
1513a602c260
hexb279b0500

47909111040 has 864 divisors, whose sum is σ = 208316304000. Its totient is φ = 10367336448.

The previous prime is 47909111011. The next prime is 47909111057. The reversal of 47909111040 is 4011190974.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 47909110986 and 47909111004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32174616 + ... + 32176104.

Almost surely, 247909111040 is an apocalyptic number.

47909111040 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 47909111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104158152000).

47909111040 is an abundant number, since it is smaller than the sum of its proper divisors (160407192960).

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

47909111040 is a wasteful number, since it uses less digits than its factorization.

47909111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 47909111040 in words is "forty-seven billion, nine hundred nine million, one hundred eleven thousand, forty".