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46130684472 = 233237591272311
BaseRepresentation
bin101010111101100110…
…100110001000111000
311102001221000120120100
4222331212212020320
51223433423400342
633105300355400
73222106230315
oct527546461070
9142057016510
1046130684472
1118622629024
128b350a5b60
134472246502
1423388b7d0c
1512eed35e4c
hexabd9a6238

46130684472 has 192 divisors, whose sum is σ = 131573145600. Its totient is φ = 14585598720.

The previous prime is 46130684471. The next prime is 46130684491. The reversal of 46130684472 is 27448603164.

46130684472 is a `hidden beast` number, since 46 + 130 + 6 + 8 + 4 + 472 = 666.

46130684472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46130684471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19960197 + ... + 19962507.

It is an arithmetic number, because the mean of its divisors is an integer number (685276800).

Almost surely, 246130684472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46130684472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65786572800).

46130684472 is an abundant number, since it is smaller than the sum of its proper divisors (85442461128).

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

46130684472 is a wasteful number, since it uses less digits than its factorization.

46130684472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 46130684472 in words is "forty-six billion, one hundred thirty million, six hundred eighty-four thousand, four hundred seventy-two".