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5664654868608 = 2732701232
BaseRepresentation
bin101001001101110011110…
…1111011100000010000000
3202001112110112111210221200
41102123213233130002000
51220302203121243413
620014150113021200
71123154266633311
oct122334757340200
922045415453850
105664654868608
111894403aa586a
12775a21554800
1332123696a378
141582567c0608
159c53d7c2573
hex526e7bdc080

5664654868608 has 72 divisors (see below), whose sum is σ = 16300866913695. Its totient is φ = 1888191362304.

The previous prime is 5664654868583. The next prime is 5664654868667. The reversal of 5664654868608 is 8068684564665.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5664654868608 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 6 + 5 + 4 + 8 + 6 + 8 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2832327434304 + 2832327434304 = 1682952^2 + 1682952^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1682952.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 80746635 + ... + 80816757.

Almost surely, 25664654868608 is an apocalyptic number.

It is an amenable number.

5664654868608 is an abundant number, since it is smaller than the sum of its proper divisors (10636212045087).

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

5664654868608 is an frugal number, since it uses more digits than its factorization.

5664654868608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140266 (or 70128 counting only the distinct ones).

The product of its (nonzero) digits is 1592524800, while the sum is 72.

Multiplying 5664654868608 by its sum of digits (72), we get a square (407855150539776 = 201954242).

5664654868608 divided by its sum of digits (72) gives a square (78675762064 = 2804922).

The spelling of 5664654868608 in words is "five trillion, six hundred sixty-four billion, six hundred fifty-four million, eight hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 70123 140246 210369 280492 420738 560984 631107 841476 1121968 1262214 1682952 2243936 2524428 3365904 4487872 5048856 6731808 8975744 10097712 13463616 20195424 26927232 40390848 80781696 4917235129 9834470258 14751705387 19668940516 29503410774 39337881032 44255116161 59006821548 78675762064 88510232322 118013643096 157351524128 177020464644 236027286192 314703048256 354040929288 472054572384 629406096512 708081858576 944109144768 1416163717152 1888218289536 2832327434304 5664654868608