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4855673088 = 28337100357
BaseRepresentation
bin1001000010110101…
…11011000100000000
3110112101210202021000
410201122323010000
534421023014323
62121453532000
7231220353210
oct44132730400
913471722230
104855673088
1120719a0072
12b361a4000
135c4c97c56
14340c52240
151d6447e43
hex1216bb100

4855673088 has 144 divisors (see below), whose sum is σ = 16410540160. Its totient is φ = 1387321344.

The previous prime is 4855673051. The next prime is 4855673099. The reversal of 4855673088 is 8803765584.

4855673088 is a `hidden beast` number, since 4 + 8 + 556 + 7 + 3 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×48556730882 = 47155122275054911488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1795 + ... + 98562.

Almost surely, 24855673088 is an apocalyptic number.

4855673088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4855673088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8205270080).

4855673088 is an abundant number, since it is smaller than the sum of its proper divisors (11554867072).

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

4855673088 is a wasteful number, since it uses less digits than its factorization.

4855673088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100389 (or 100369 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 4855673088 is about 69682.6598803461. The cubic root of 4855673088 is about 1693.3620138294.

The spelling of 4855673088 in words is "four billion, eight hundred fifty-five million, six hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 100357 200714 301071 401428 602142 702499 802856 903213 1204284 1404998 1605712 1806426 2107497 2408568 2709639 2809996 3211424 3612852 4214994 4817136 5419278 5619992 6322491 6422848 7225704 8429988 9634272 10838556 11239984 12644982 12845696 14451408 16859976 18967473 19268544 21677112 22479968 25289964 25691392 28902816 33719952 37934946 38537088 43354224 44959936 50579928 57805632 67439904 75869892 77074176 86708448 89919872 101159856 115611264 134879808 151739784 173416896 179839744 202319712 231222528 269759616 303479568 346833792 404639424 539519232 606959136 693667584 809278848 1213918272 1618557696 2427836544 4855673088