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85188373550208 = 2733201771221659
BaseRepresentation
bin10011010111101001110110…
…101111101001010010000000
3102011121221002020000222202000
4103113221312233221102000
542131211242112101313
6501102555404024000
723641441211463435
oct2327516657512200
9364557066028660
1085188373550208
1125164206016005
12967a0b1b32000
13386c2c95c1356
1417071d427bb8c
159cae29a4a673
hex4d7a76be9480

85188373550208 has 128 divisors (see below), whose sum is σ = 251436685896000. Its totient is φ = 28394693922816.

The previous prime is 85188373550197. The next prime is 85188373550221. The reversal of 85188373550208 is 80205537388158.

85188373550208 is a `hidden beast` number, since 8 + 5 + 1 + 8 + 8 + 3 + 73 + 550 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69120883 + ... + 70342541.

Almost surely, 285188373550208 is an apocalyptic number.

It is an amenable number.

85188373550208 is an abundant number, since it is smaller than the sum of its proper divisors (166248312345792).

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

85188373550208 is a wasteful number, since it uses less digits than its factorization.

85188373550208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241859 (or 1241841 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 85188373550208 in words is "eighty-five trillion, one hundred eighty-eight billion, three hundred seventy-three million, five hundred fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 20177 40354 60531 80708 121062 161416 181593 242124 322832 363186 484248 544779 645664 726372 968496 1089558 1221659 1291328 1452744 1936992 2179116 2443318 2582656 2905488 3664977 3873984 4358232 4886636 5810976 7329954 7747968 8716464 9773272 10994931 11621952 14659908 17432928 19546544 21989862 23243904 29319816 32984793 34865856 39093088 43979724 58639632 65969586 69731712 78186176 87959448 117279264 131939172 156372352 175918896 234558528 263878344 351837792 469117056 527756688 703675584 1055513376 1407351168 2111026752 4222053504 24649413643 49298827286 73948240929 98597654572 147896481858 197195309144 221844722787 295792963716 394390618288 443689445574 591585927432 665534168361 788781236576 887378891148 1183171854864 1331068336722 1577562473152 1774757782296 2366343709728 2662136673444 3155124946304 3549515564592 4732687419456 5324273346888 7099031129184 9465374838912 10648546693776 14198062258368 21297093387552 28396124516736 42594186775104 85188373550208