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5466305040 = 243573253753
BaseRepresentation
bin1010001011101000…
…10011001000010000
3112002221211001211020
411011310103020100
542143333230130
62302225515440
7252313553250
oct50564231020
915087731736
105466305040
11235564a979
1210867a2b80
13691646c31
1439bda5960
1521ed65e10
hex145d13210

5466305040 has 80 divisors (see below), whose sum is σ = 19366343808. Its totient is φ = 1249440768.

The previous prime is 5466305021. The next prime is 5466305059. The reversal of 5466305040 is 405036645.

It is an interprime number because it is at equal distance from previous prime (5466305021) and next prime (5466305059).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5466304992 and 5466305010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625197 + ... + 1628556.

Almost surely, 25466305040 is an apocalyptic number.

It is an amenable number.

5466305040 is an abundant number, since it is smaller than the sum of its proper divisors (13900038768).

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

5466305040 is a wasteful number, since it uses less digits than its factorization.

5466305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253776 (or 3253770 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 5466305040 is about 73934.4644939016. The cubic root of 5466305040 is about 1761.5620859584.

The spelling of 5466305040 in words is "five billion, four hundred sixty-six million, three hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3253753 6507506 9761259 13015012 16268765 19522518 22776271 26030024 32537530 39045036 45552542 48806295 52060048 65075060 68328813 78090072 91105084 97612590 113881355 130150120 136657626 156180144 182210168 195225180 227762710 260300240 273315252 341644065 364420336 390450360 455525420 546630504 683288130 780900720 911050840 1093261008 1366576260 1822101680 2733152520 5466305040