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108848893356 = 223271940915557
BaseRepresentation
bin110010101011111100…
…1100100110110101100
3101101221212101200220200
41211113321210312230
53240410304041411
6122000545313500
710602243220260
oct1452771446654
9341855350820
10108848893356
11421873a9705
1219119335890
13a358b94208
1453a83800a0
152c71018e56
hex1957e64dac

108848893356 has 144 divisors (see below), whose sum is σ = 331142972160. Its totient is φ = 29450355840.

The previous prime is 108848893331. The next prime is 108848893367. The reversal of 108848893356 is 653398848801.

108848893356 is a `hidden beast` number, since 10 + 8 + 8 + 488 + 93 + 3 + 56 = 666.

108848893356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 108848893293 and 108848893302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19584930 + ... + 19590486.

Almost surely, 2108848893356 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 108848893356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165571486080).

108848893356 is an abundant number, since it is smaller than the sum of its proper divisors (222294078804).

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

108848893356 is a wasteful number, since it uses less digits than its factorization.

108848893356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 108848893356 in words is "one hundred eight billion, eight hundred forty-eight million, eight hundred ninety-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4091 4788 5557 8182 11114 12273 16364 16671 22228 24546 28637 33342 36819 38899 49092 50013 57274 66684 73638 77729 77798 85911 100026 105583 114548 116697 147276 155458 155596 171822 200052 211166 233187 233394 257733 310916 316749 343644 350091 422332 466374 466788 515466 544103 633498 699561 700182 739081 932748 950247 1030932 1088206 1266996 1399122 1400364 1478162 1632309 1900494 2176412 2217243 2798244 2956324 3264618 3800988 4434486 4896927 6529236 6651729 8868972 9793854 13303458 19587708 22733687 26606916 45467374 68201061 90934748 136402122 159135809 204603183 272804244 318271618 409206366 431940053 477407427 636543236 818412732 863880106 954814854 1295820159 1432222281 1727760212 1909629708 2591640318 2864444562 3023580371 3887460477 5183280636 5728889124 6047160742 7774920954 9070741113 12094321484 15549841908 18141482226 27212223339 36282964452 54424446678 108848893356