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27428338950336 = 263318187695477
BaseRepresentation
bin1100011110010001010000…
…11001100110000011000000
310121010010100002201200122000
412033020220121212003000
512043341214232402321
6134200223245544000
75530426544213442
oct617105031460300
9117103302650560
1027428338950336
118815325311595
1230ab967275000
13123c63445305c
146ab778238492
15328719d49826
hex18f2286660c0

27428338950336 has 112 divisors (see below), whose sum is σ = 81079731139680. Its totient is φ = 9092266951680.

The previous prime is 27428338950293. The next prime is 27428338950343. The reversal of 27428338950336 is 63305983382472.

It is a happy number.

27428338950336 is a `hidden beast` number, since 2 + 7 + 42 + 8 + 3 + 3 + 89 + 503 + 3 + 6 = 666.

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 15 ways as a sum of consecutive naturals, for example, 43534971 + ... + 44160506.

It is an arithmetic number, because the mean of its divisors is an integer number (723926170890).

Almost surely, 227428338950336 is an apocalyptic number.

It is an amenable number.

27428338950336 is an abundant number, since it is smaller than the sum of its proper divisors (53651392189344).

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

27428338950336 is a wasteful number, since it uses less digits than its factorization.

27428338950336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87695679 (or 87695663 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 27428338950336 in words is "twenty-seven trillion, four hundred twenty-eight billion, three hundred thirty-eight million, nine hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 181 192 216 288 362 432 543 576 724 864 1086 1448 1629 1728 2172 2896 3258 4344 4887 5792 6516 8688 9774 11584 13032 17376 19548 26064 34752 39096 52128 78192 104256 156384 312768 87695477 175390954 263086431 350781908 526172862 701563816 789259293 1052345724 1403127632 1578518586 2104691448 2367777879 2806255264 3157037172 4209382896 4735555758 5612510528 6314074344 8418765792 9471111516 12628148688 15872881337 16837531584 18942223032 25256297376 31745762674 37884446064 47618644011 50512594752 63491525348 75768892128 95237288022 126983050696 142855932033 151537784256 190474576044 253966101392 285711864066 380949152088 428567796099 507932202784 571423728132 761898304176 857135592198 1015864405568 1142847456264 1523796608352 1714271184396 2285694912528 3047593216704 3428542368792 4571389825056 6857084737584 9142779650112 13714169475168 27428338950336