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46340311824 = 2432179392
BaseRepresentation
bin101011001010000110…
…010000101100010000
311102121112110202020100
4223022012100230100
51224401104434244
633142145412400
73230233102632
oct531206205420
9142545422210
1046340311824
111871a997174
128b9333a100
1344a67c1871
142358684a52
151313442b69
hexaca190b10

46340311824 has 45 divisors (see below), whose sum is σ = 129695741383. Its totient is φ = 15445909536.

The previous prime is 46340311817. The next prime is 46340311837. The reversal of 46340311824 is 42811304364.

The square root of 46340311824 is 215268.

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

46340311824 is a `hidden beast` number, since 4 + 634 + 0 + 3 + 1 + 18 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2574247 + ... + 2592185.

Almost surely, 246340311824 is an apocalyptic number.

46340311824 is the 215268-th square number.

It is an amenable number.

46340311824 is an abundant number, since it is smaller than the sum of its proper divisors (83355429559).

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

46340311824 is an frugal number, since it uses more digits than its factorization.

46340311824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35892 (or 17944 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 46340311824 by its sum of digits (36), we get a square (1668251225664 = 12916082).

46340311824 divided by its sum of digits (36) gives a square (1287230884 = 358782).

The spelling of 46340311824 in words is "forty-six billion, three hundred forty million, three hundred eleven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 17939 35878 53817 71756 107634 143512 161451 215268 287024 322902 430536 645804 861072 1291608 2583216 321807721 643615442 965423163 1287230884 1930846326 2574461768 2896269489 3861692652 5148923536 5792538978 7723385304 11585077956 15446770608 23170155912 46340311824