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64408348944 = 2432211492
BaseRepresentation
bin111011111111000010…
…010110100100010000
320011020201200010122100
4323333002112210100
52023402014131234
645331102240400
74440045634662
oct737702264420
9204221603570
1064408348944
1125351919955
1210596286100
1360c5b543a4
143190142532
151a1e78a399
hexeff096910

64408348944 has 45 divisors (see below), whose sum is σ = 180262444453. Its totient is φ = 21468434496.

The previous prime is 64408348933. The next prime is 64408348973. The reversal of 64408348944 is 44984380446.

The square root of 64408348944 is 253788.

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

64408348944 is a `hidden beast` number, since 6 + 4 + 40 + 83 + 489 + 44 = 666.

64408348944 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., 6462230544 + 57946118400 = 80388^2 + 240720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3034882 + ... + 3056030.

Almost surely, 264408348944 is an apocalyptic number.

64408348944 is the 253788-th square number.

It is an amenable number.

64408348944 is an abundant number, since it is smaller than the sum of its proper divisors (115854095509).

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

64408348944 is an frugal number, since it uses more digits than its factorization.

64408348944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42312 (or 21154 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 64408348944 in words is "sixty-four billion, four hundred eight million, three hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 21149 42298 63447 84596 126894 169192 190341 253788 338384 380682 507576 761364 1015152 1522728 3045456 447280201 894560402 1341840603 1789120804 2683681206 3578241608 4025521809 5367362412 7156483216 8051043618 10734724824 16102087236 21469449648 32204174472 64408348944