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9994952556 = 223597227467
BaseRepresentation
bin10010100111011111…
…01101111101101100
3221210120021012100000
421103233231331230
5130432201440211
64331442304300
7502453460241
oct112357557554
927716235300
109994952556
114269987876
121b2b358090
13c33940c14
146ab60b5c8
153d7712656
hex253bedf6c

9994952556 has 144 divisors (see below), whose sum is σ = 26644415616. Its totient is φ = 3275748864.

The previous prime is 9994952537. The next prime is 9994952557. The reversal of 9994952556 is 6552594999.

9994952556 is a `hidden beast` number, since 9 + 99 + 495 + 2 + 5 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (39366000) is a multiple of the sum of its prime factors (810).

It is a junction number, because it is equal to n+sod(n) for n = 9994952493 and 9994952502.

It is not an unprimeable number, because it can be changed into a prime (9994952557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21402235 + ... + 21402701.

It is an arithmetic number, because the mean of its divisors is an integer number (185030664).

Almost surely, 29994952556 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 9994952556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322207808).

9994952556 is an abundant number, since it is smaller than the sum of its proper divisors (16649463060).

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

9994952556 is a wasteful number, since it uses less digits than its factorization.

9994952556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its digits is 39366000, while the sum is 63.

The square root of 9994952556 is about 99974.7595946097. The cubic root of 9994952556 is about 2154.0721494133.

The spelling of 9994952556 in words is "nine billion, nine hundred ninety-four million, nine hundred fifty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 227 243 291 324 388 454 467 486 582 681 873 908 934 972 1164 1362 1401 1746 1868 2043 2619 2724 2802 3492 4086 4203 5238 5604 6129 7857 8172 8406 10476 12258 12609 15714 16812 18387 22019 23571 24516 25218 31428 36774 37827 44038 45299 47142 50436 55161 66057 73548 75654 88076 90598 94284 106009 110322 113481 132114 135897 151308 181196 198171 212018 220644 226962 264228 271794 318027 396342 407691 424036 453924 543588 594513 636054 792684 815382 954081 1189026 1223073 1272108 1630764 1783539 1908162 2378052 2446146 2862243 3567078 3669219 3816324 4892292 5350617 5724486 7134156 7338438 8586729 10282873 10701234 11007657 11448972 14676876 17173458 20565746 21402468 22015314 25760187 30848619 34346916 41131492 44030628 51520374 61697238 92545857 103040748 123394476 185091714 277637571 370183428 555275142 832912713 1110550284 1665825426 2498738139 3331650852 4997476278 9994952556