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4656093008 = 2471773139241
BaseRepresentation
bin1000101011000011…
…00101011101010000
3110000111021000212012
410111201211131100
534013424434013
62050004122052
7223245065120
oct42541453520
913014230765
104656093008
111a7a274656
12a9b396328
13592829b28
1432253cc80
151c3b731a8
hex115865750

4656093008 has 160 divisors (see below), whose sum is σ = 11191783680. Its totient is φ = 1831403520.

The previous prime is 4656092981. The next prime is 4656093011. The reversal of 4656093008 is 8003906564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19319768 + ... + 19320008.

It is an arithmetic number, because the mean of its divisors is an integer number (69948648).

Almost surely, 24656093008 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 4656093008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595891840).

4656093008 is an abundant number, since it is smaller than the sum of its proper divisors (6535690672).

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

4656093008 is a wasteful number, since it uses less digits than its factorization.

4656093008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 4656093008 is about 68235.5699617142. The cubic root of 4656093008 is about 1669.8362405310.

The spelling of 4656093008 in words is "four billion, six hundred fifty-six million, ninety-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 73 112 119 136 139 146 238 241 272 278 292 476 482 511 556 584 952 964 973 1022 1112 1168 1241 1687 1904 1928 1946 2044 2224 2363 2482 3374 3856 3892 4088 4097 4726 4964 6748 7784 8176 8194 8687 9452 9928 10147 13496 15568 16388 16541 17374 17593 18904 19856 20294 26992 28679 32776 33082 33499 34748 35186 37808 40588 57358 65552 66164 66998 69496 70372 71029 81176 114716 123151 132328 133996 138992 140744 142058 162352 172499 229432 234493 246302 264656 267992 281488 284116 299081 344998 458864 468986 492604 535984 568232 569483 598162 689996 937972 985208 1136464 1138966 1196324 1207493 1379992 1875944 1970416 2093567 2277932 2392648 2414986 2445427 2759984 3751888 3986381 4187134 4555864 4785296 4829972 4890854 7972762 8374268 9111728 9659944 9781708 15945524 16748536 17117989 19319888 19563416 31891048 33497072 34235978 39126832 41572259 63782096 68471956 83144518 136943912 166289036 273887824 291005813 332578072 582011626 665156144 1164023252 2328046504 4656093008