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52805665406016 = 263410186278049
BaseRepresentation
bin11000000000110110001101…
…11011011011110001000000
320220222011122121121022010000
430000123012323123301000
523410132000320443031
6304150330544040000
714060040421036005
oct1400330673336100
9226864577538100
1052805665406016
1115909836531aa6
125b0a112603000
1323607258ab963
14d07b44a118ac
156188e34c33e6
hex3006c6edbc40

52805665406016 has 70 divisors (see below), whose sum is σ = 156532534794350. Its totient is φ = 17601888466944.

The previous prime is 52805665406009. The next prime is 52805665406027. The reversal of 52805665406016 is 61060456650825.

52805665406016 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 566 + 5 + 4 + 0 + 60 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51194025000000 + 1611640406016 = 7155000^2 + 1269504^2 .

It is a super-2 number, since 2×528056654060162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5093133841 + ... + 5093144208.

Almost surely, 252805665406016 is an apocalyptic number.

It is an amenable number.

52805665406016 is an abundant number, since it is smaller than the sum of its proper divisors (103726869388334).

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

52805665406016 is a wasteful number, since it uses less digits than its factorization.

52805665406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186278073 (or 10186278054 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 52805665406016 in words is "fifty-two trillion, eight hundred five billion, six hundred sixty-five million, four hundred six thousand, sixteen".

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 10186278049 20372556098 30558834147 40745112196 61117668294 81490224392 91676502441 122235336588 162980448784 183353004882 244470673176 275029507323 325960897568 366706009764 488941346352 550059014646 651921795136 733412019528 825088521969 977882692704 1100118029292 1466824039056 1650177043938 1955765385408 2200236058584 2933648078112 3300354087876 4400472117168 5867296156224 6600708175752 8800944234336 13201416351504 17601888468672 26402832703008 52805665406016