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9427917646016 = 268917329633229
BaseRepresentation
bin1000100100110001101110…
…1011101010100011000000
31020101022002210100120001122
42021030123223222203000
52213431333404133031
632015043042451412
71662100405514252
oct211143353524300
936338083316048
109427917646016
1130053a27a9151
12108323a663b68
135350833430ac
1424845691bcd2
15115395ec047b
hex8931baea8c0

9427917646016 has 112 divisors (see below), whose sum is σ = 19040405810400. Its totient is φ = 4631052214272.

The previous prime is 9427917646003. The next prime is 9427917646087. The reversal of 9427917646016 is 6106467197249.

It is a super-2 number, since 2×94279176460162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9427917646016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2919762290 + ... + 2919765518.

Almost surely, 29427917646016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9427917646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520202905200).

9427917646016 is an abundant number, since it is smaller than the sum of its proper divisors (9612488164384).

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

9427917646016 is a wasteful number, since it uses less digits than its factorization.

9427917646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 62.

The spelling of 9427917646016 in words is "nine trillion, four hundred twenty-seven billion, nine hundred seventeen million, six hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 89 173 178 346 356 692 712 1384 1424 2768 2848 2963 3229 5536 5696 5926 6458 11072 11852 12916 15397 23704 25832 30794 47408 51664 61588 94816 103328 123176 189632 206656 246352 263707 287381 492704 512599 527414 558617 574762 985408 1025198 1054828 1117234 1149524 2050396 2109656 2234468 2299048 4100792 4219312 4468936 4598096 8201584 8438624 8937872 9196192 9567527 16403168 16877248 17875744 18392384 19135054 32806336 35751488 38270108 45621311 49716913 76540216 91242622 99433826 153080432 182485244 198867652 306160864 364970488 397735304 612321728 729940976 795470608 851509903 1459881952 1590941216 1655182171 1703019806 2919763904 3181882432 3310364342 3406039612 6620728684 6812079224 13241457368 13624158448 26482914736 27248316896 52965829472 54496633792 105931658944 147311213219 294622426438 589244852876 1178489705752 2356979411504 4713958823008 9427917646016