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46398514680 = 233257314712637
BaseRepresentation
bin101011001101100100…
…010010010111111000
311102202120222202112200
4223031210102113320
51230011004432210
633152025110200
73231540603360
oct531544222770
9142676882480
1046398514680
111874a82a901
128baa928360
1344b588c81b
1423622b59a0
1513185dd0c0
hexacd9125f8

46398514680 has 384 divisors, whose sum is σ = 181696020480. Its totient is φ = 10044103680.

The previous prime is 46398514627. The next prime is 46398514699. The reversal of 46398514680 is 8641589364.

46398514680 is a `hidden beast` number, since 4 + 63 + 9 + 8 + 514 + 68 + 0 = 666.

46398514680 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3665322 + ... + 3677958.

It is an arithmetic number, because the mean of its divisors is an integer number (473166720).

Almost surely, 246398514680 is an apocalyptic number.

46398514680 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 46398514680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90848010240).

46398514680 is an abundant number, since it is smaller than the sum of its proper divisors (135297505800).

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

46398514680 is a wasteful number, since it uses less digits than its factorization.

46398514680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12739 (or 12732 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 46398514680 in words is "forty-six billion, three hundred ninety-eight million, five hundred fourteen thousand, six hundred eighty".