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46803197952 = 213337193743
BaseRepresentation
bin101011100101101100…
…000010000000000000
311110210210110210122000
4223211230002000000
51231323104313302
633300122544000
73244553422110
oct534554020000
9143723423560
1046803197952
1118938204395
1290a2368000
13454b680994
14239dd39040
15133ddc931c
hexae5b02000

46803197952 has 896 divisors, whose sum is σ = 175311206400. Its totient is φ = 12039487488.

The previous prime is 46803197921. The next prime is 46803197953. The reversal of 46803197952 is 25979130864.

46803197952 is a `hidden beast` number, since 468 + 0 + 3 + 1 + 97 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46803197953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088446443 + ... + 1088446485.

It is a 1-persistent number, because it is pandigital, but 2⋅46803197952 = 93606395904 is not.

Almost surely, 246803197952 is an apocalyptic number.

46803197952 is a gapful number since it is divisible by the number (42) 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 46803197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87655603200).

46803197952 is an abundant number, since it is smaller than the sum of its proper divisors (128508008448).

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

46803197952 is a wasteful number, since it uses less digits than its factorization.

46803197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 46803197952 in words is "forty-six billion, eight hundred three million, one hundred ninety-seven thousand, nine hundred fifty-two".