Search a number
-
+
3540745664064 = 26327878161127
BaseRepresentation
bin110011100001100100111…
…000110011011001000000
3110112111021122122011222200
4303201210320303121000
5431002421342222224
611310332431433200
7513544656364110
oct63414470633100
913474248564880
103540745664064
111145692690704
12492278685800
131c8b7736a26b
14c353174b040
15621825515c9
hex33864e33640

3540745664064 has 84 divisors (see below), whose sum is σ = 11598752178624. Its totient is φ = 1011641617152.

The previous prime is 3540745664047. The next prime is 3540745664089. The reversal of 3540745664064 is 4604665470453.

It is a happy number.

3540745664064 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 74 + 566 + 4 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 3540745664064.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439076532 + ... + 439084595.

Almost surely, 23540745664064 is an apocalyptic number.

It is an amenable number.

3540745664064 is an abundant number, since it is smaller than the sum of its proper divisors (8058006514560).

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

3540745664064 is a wasteful number, since it uses less digits than its factorization.

3540745664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878161152 (or 878161139 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 3540745664064 in words is "three trillion, five hundred forty billion, seven hundred forty-five million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 878161127 1756322254 2634483381 3512644508 5268966762 6147127889 7025289016 7903450143 10537933524 12294255778 14050578032 15806900286 18441383667 21075867048 24588511556 28101156064 31613800572 36882767334 42151734096 49177023112 55324151001 56202312128 63227601144 73765534668 84303468192 98354046224 110648302002 126455202288 147531069336 168606936384 196708092448 221296604004 252910404576 295062138672 393416184896 442593208008 505820809152 590124277344 885186416016 1180248554688 1770372832032 3540745664064