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47032972560 = 24325729833877
BaseRepresentation
bin101011110011011000…
…100011010100010000
311111101210211120010200
4223303120203110100
51232310420110220
633335011455200
73253343445660
oct536330432420
9144353746120
1047032972560
1118a45983462
1291472b7500
1345871614a2
1423c266c1a0
151354165890
hexaf3623510

47032972560 has 480 divisors, whose sum is σ = 189040400640. Its totient is φ = 10251988992.

The previous prime is 47032972529. The next prime is 47032972561. The reversal of 47032972560 is 6527923074.

47032972560 is a `hidden beast` number, since 4 + 70 + 329 + 7 + 256 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (47032972561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12129342 + ... + 12133218.

It is an arithmetic number, because the mean of its divisors is an integer number (393834168).

Almost surely, 247032972560 is an apocalyptic number.

47032972560 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 47032972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94520200320).

47032972560 is an abundant number, since it is smaller than the sum of its proper divisors (142007428080).

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

47032972560 is a wasteful number, since it uses less digits than its factorization.

47032972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 47032972560 in words is "forty-seven billion, thirty-two million, nine hundred seventy-two thousand, five hundred sixty".