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5606465040 = 2432511707887
BaseRepresentation
bin1010011100010101…
…11101111000010000
3112110201112221012100
411032022331320100
542440223340130
62324154000400
7255635111061
oct51612757020
915421487170
105606465040
112417781190
121105716100
136b46ac047
143b284c568
1522c2eec60
hex14e2bde10

5606465040 has 120 divisors (see below), whose sum is σ = 20540078208. Its totient is φ = 1359141120.

The previous prime is 5606464967. The next prime is 5606465063. The reversal of 5606465040 is 405646065.

It is a happy number.

5606465040 is a `hidden beast` number, since 5 + 6 + 0 + 646 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5606464986 and 5606465004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346024 + ... + 361863.

Almost surely, 25606465040 is an apocalyptic number.

It is an amenable number.

5606465040 is an abundant number, since it is smaller than the sum of its proper divisors (14933613168).

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

5606465040 is a wasteful number, since it uses less digits than its factorization.

5606465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707917 (or 707908 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5606465040 is about 74876.3316409131. The cubic root of 5606465040 is about 1776.4911138763.

It can be divided in two parts, 56064 and 65040, that added together give a square (121104 = 3482).

The spelling of 5606465040 in words is "five billion, six hundred six million, four hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 707887 1415774 2123661 2831548 3539435 4247322 5663096 6370983 7078870 7786757 8494644 10618305 11326192 12741966 14157740 15573514 16989288 21236610 23360271 25483932 28315480 31147028 31854915 33978576 38933785 42473220 46720542 50967864 56630960 62294056 63709830 70080813 77867570 84946440 93441084 101935728 116801355 124588112 127419660 140161626 155735140 169892880 186882168 233602710 254839320 280323252 311470280 350404065 373764336 467205420 509678640 560646504 622940560 700808130 934410840 1121293008 1401616260 1868821680 2803232520 5606465040