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46841490432 = 21033112947113
BaseRepresentation
bin101011100111111110…
…000110110000000000
311110220110112021001000
4223213332012300000
51231412410143212
633304011412000
73245530046022
oct534776066000
9143813467030
1046841490432
1118957889070
1290b3154000
13455659a259
1423a5066012
1513424401dc
hexae7f86c00

46841490432 has 704 divisors, whose sum is σ = 161297049600. Its totient is φ = 13294632960.

The previous prime is 46841490427. The next prime is 46841490511. The reversal of 46841490432 is 23409414864.

46841490432 is a `hidden beast` number, since 46 + 84 + 1 + 490 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×468414904322 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414526408 + ... + 414526520.

Almost surely, 246841490432 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 46841490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80648524800).

46841490432 is an abundant number, since it is smaller than the sum of its proper divisors (114455559168).

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

46841490432 is a wasteful number, since it uses less digits than its factorization.

46841490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 46841490432 in words is "forty-six billion, eight hundred forty-one million, four hundred ninety thousand, four hundred thirty-two".