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47816052480 = 2832572232659
BaseRepresentation
bin101100100010000011…
…110000111100000000
311120102101100010211200
4230202003300330000
51240411402134410
633544423541200
73311632511550
oct544203607400
9146371303750
1047816052480
1119307a07a49
1293255ba800
13468046baa1
142458671160
15139cc993c0
hexb220f0f00

47816052480 has 432 divisors, whose sum is σ = 189991925760. Its totient is φ = 10876280832.

The previous prime is 47816052443. The next prime is 47816052509. The reversal of 47816052480 is 8425061874.

47816052480 is a `hidden beast` number, since 4 + 7 + 8 + 160 + 5 + 2 + 480 = 666.

It is a super-2 number, since 2×478160524802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17981391 + ... + 17984049.

Almost surely, 247816052480 is an apocalyptic number.

47816052480 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 47816052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94995962880).

47816052480 is an abundant number, since it is smaller than the sum of its proper divisors (142175873280).

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

47816052480 is a wasteful number, since it uses less digits than its factorization.

47816052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 47816052480 in words is "forty-seven billion, eight hundred sixteen million, fifty-two thousand, four hundred eighty".