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46845840721 = 41252792
BaseRepresentation
bin101011101000001110…
…101100110101010001
311110220202201021111211
4223220032230311101
51231420013400341
633304244540121
73245612035051
oct535016546521
9143822637454
1046845840721
111895a28a549
1290b46b1641
1345574613a4
1423a5879561
1513429ee181
hexae83acd51

46845840721 has 9 divisors (see below), whose sum is σ = 48025387483. Its totient is φ = 45694601680.

The previous prime is 46845840719. The next prime is 46845840761. The reversal of 46845840721 is 12704854864.

It is a happy number.

The square root of 46845840721 is 216439.

It is a perfect power (a square), and thus also a powerful number.

46845840721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2257295121 + 44588545600 = 47511^2 + 211160^2 .

It is not a de Polignac number, because 46845840721 - 21 = 46845840719 is a prime.

It is a super-3 number, since 3×468458407213 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46845840761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8871360 + ... + 8876638.

Almost surely, 246845840721 is an apocalyptic number.

46845840721 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

46845840721 is the 216439-th square number.

46845840721 is the 108220-th centered octagonal number.

It is an amenable number.

46845840721 is a deficient number, since it is larger than the sum of its proper divisors (1179546762).

46845840721 is an frugal number, since it uses more digits than its factorization.

46845840721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10640 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

Multiplying 46845840721 by its sum of digits (49), we get a square (2295446195329 = 15150732).

The spelling of 46845840721 in words is "forty-six billion, eight hundred forty-five million, eight hundred forty thousand, seven hundred twenty-one".

Divisors: 1 41 1681 5279 216439 8873999 27867841 1142581481 46845840721