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46381412401 = 4111310011097
BaseRepresentation
bin101011001100100011…
…000011000000110001
311102201101210212121221
4223030203003000301
51224442120144101
633150214345041
73231242333452
oct531443030061
9142641725557
1046381412401
1118741109695
128ba505b181
1344b218232c
14235dd03129
151316d60aa1
hexacc8c3031

46381412401 has 8 divisors (see below), whose sum is σ = 47933137224. Its totient is φ = 44849710080.

The previous prime is 46381412369. The next prime is 46381412431. The reversal of 46381412401 is 10421418364.

It can be written as a sum of positive squares in 4 ways, for example, as 49280400 + 46332132001 = 7020^2 + 215249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 46381412401 - 25 = 46381412369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46381412431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5000916 + ... + 5010181.

It is an arithmetic number, because the mean of its divisors is an integer number (5991642153).

Almost surely, 246381412401 is an apocalyptic number.

46381412401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

46381412401 is a deficient number, since it is larger than the sum of its proper divisors (1551724823).

46381412401 is a wasteful number, since it uses less digits than its factorization.

46381412401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011251.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 46381412401 in words is "forty-six billion, three hundred eighty-one million, four hundred twelve thousand, four hundred one".

Divisors: 1 41 113 4633 10011097 410454977 1131253961 46381412401