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87473347920 = 243257237310337
BaseRepresentation
bin101000101110111010…
…0010101110101010000
322100210011112111001200
41101131310111311100
52413121134113140
6104103521231200
76214446121650
oct1213564256520
9270704474050
1087473347920
1134108473a82
1214b52792500
13833052098a
14433b510360
15241e639030
hex145dd15d50

87473347920 has 480 divisors, whose sum is σ = 355161411072. Its totient is φ = 18860802048.

The previous prime is 87473347877. The next prime is 87473347991. The reversal of 87473347920 is 2974337478.

87473347920 is a `hidden beast` number, since 87 + 4 + 73 + 3 + 479 + 20 = 666.

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, 8456992 + ... + 8467328.

Almost surely, 287473347920 is an apocalyptic number.

87473347920 is a gapful number since it is divisible by the number (80) 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 87473347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177580705536).

87473347920 is an abundant number, since it is smaller than the sum of its proper divisors (267688063152).

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

87473347920 is a wasteful number, since it uses less digits than its factorization.

87473347920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10459 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 87473347920 in words is "eighty-seven billion, four hundred seventy-three million, three hundred forty-seven thousand, nine hundred twenty".