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3713408064 = 2634716321
BaseRepresentation
bin1101110101010110…
…0001110001000000
3100120210102200020000
43131111201301000
530101113024224
61412251120000
7161010306402
oct33525416100
910523380200
103713408064
111636138493
12877743000
134724397a2
14273270b72
1516b0140c9
hexdd561c40

3713408064 has 70 divisors (see below), whose sum is σ = 11007720174. Its totient is φ = 1237800960.

The previous prime is 3713408047. The next prime is 3713408071. The reversal of 3713408064 is 4608043173.

It can be written as a sum of positive squares in only one way, i.e., 2224065600 + 1489342464 = 47160^2 + 38592^2 .

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 352977 + ... + 363344.

Almost surely, 23713408064 is an apocalyptic number.

It is an amenable number.

3713408064 is an abundant number, since it is smaller than the sum of its proper divisors (7294312110).

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

3713408064 is an equidigital number, since it uses as much as digits as its factorization.

3713408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716345 (or 716326 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3713408064 is about 60937.7392426073. The cubic root of 3713408064 is about 1548.5464088741.

The spelling of 3713408064 in words is "three billion, seven hundred thirteen million, four hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 716321 1432642 2148963 2865284 4297926 5730568 6446889 8595852 11461136 12893778 17191704 19340667 22922272 25787556 34383408 38681334 45844544 51575112 58022001 68766816 77362668 103150224 116044002 137533632 154725336 206300448 232088004 309450672 412600896 464176008 618901344 928352016 1237802688 1856704032 3713408064