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5125670800416 = 253223773802959
BaseRepresentation
bin100101010010110100111…
…0010011000110000100000
3200011000020210220020122200
41022211221302120300200
51132434333211103131
614522411201533200
71036213620640305
oct112455162306040
920130223806580
105125670800416
1116a686a5a49a1
126a9480944200
132b246c094a2a
1413a125cc70ac
158d4e54842e6
hex4a969c98c20

5125670800416 has 72 divisors (see below), whose sum is σ = 15209870981760. Its totient is φ = 1634271847296.

The previous prime is 5125670800409. The next prime is 5125670800441. The reversal of 5125670800416 is 6140080765215.

5125670800416 is a `hidden beast` number, since 5 + 1 + 2 + 567 + 0 + 80 + 0 + 4 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386894856 + ... + 386908103.

It is an arithmetic number, because the mean of its divisors is an integer number (211248208080).

Almost surely, 25125670800416 is an apocalyptic number.

It is an amenable number.

5125670800416 is an abundant number, since it is smaller than the sum of its proper divisors (10084200181344).

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

5125670800416 is a wasteful number, since it uses less digits than its factorization.

5125670800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773802998 (or 773802987 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 5125670800416 in words is "five trillion, one hundred twenty-five billion, six hundred seventy million, eight hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 773802959 1547605918 2321408877 3095211836 4642817754 6190423672 6964226631 9285635508 12380847344 13928453262 17797468057 18571271016 24761694688 27856906524 35594936114 37142542032 53392404171 55713813048 71189872228 74285084064 106784808342 111427626096 142379744456 160177212513 213569616684 222855252192 284759488912 320354425026 427139233368 569518977824 640708850052 854278466736 1281417700104 1708556933472 2562835400208 5125670800416