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16514306064 = 2432107092
BaseRepresentation
bin11110110000101010…
…00101000000010000
31120121220120200002100
433120111011000100
5232310130243224
611330410520400
71123145166624
oct173025050020
946556520070
1016514306064
117004993633
12324a736100
1317324a9b49
14b293ad184
15669c37ac9
hex3d8545010

16514306064 has 45 divisors (see below), whose sum is σ = 46221436573. Its totient is φ = 5504254656.

The previous prime is 16514306033. The next prime is 16514306101. The reversal of 16514306064 is 46060341561.

It is a happy number.

The square root of 16514306064 is 128508.

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

16514306064 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 43 + 0 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15903227664 + 611078400 = 126108^2 + 24720^2 .

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 polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1536742 + ... + 1547450.

Almost surely, 216514306064 is an apocalyptic number.

16514306064 is the 128508-th square number.

It is an amenable number.

16514306064 is an abundant number, since it is smaller than the sum of its proper divisors (29707130509).

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

16514306064 is an frugal number, since it uses more digits than its factorization.

16514306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21432 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 16514306064 by its sum of digits (36), we get a square (594515018304 = 7710482).

16514306064 divided by its sum of digits (36) gives a square (458730724 = 214182).

The spelling of 16514306064 in words is "sixteen billion, five hundred fourteen million, three hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10709 21418 32127 42836 64254 85672 96381 128508 171344 192762 257016 385524 514032 771048 1542096 114682681 229365362 344048043 458730724 688096086 917461448 1032144129 1376192172 1834922896 2064288258 2752384344 4128576516 5504768688 8257153032 16514306064