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4675868160 = 29354314159
BaseRepresentation
bin1000101101011010…
…00001011000000000
3110001212110201021020
410112231001120000
534034010240120
62051552025440
7223605136455
oct42655013000
913055421236
104675868160
111a8a450a57
12aa5b32280
13596961ac2
1432500982c
151c577c640
hex116b41600

4675868160 has 160 divisors (see below), whose sum is σ = 15296878080. Its totient is φ = 1217814528.

The previous prime is 4675868149. The next prime is 4675868161. The reversal of 4675868160 is 618685764.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4675868161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323161 + ... + 337319.

It is an arithmetic number, because the mean of its divisors is an integer number (95605488).

Almost surely, 24675868160 is an apocalyptic number.

4675868160 is a gapful number since it is divisible by the number (40) 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 4675868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648439040).

4675868160 is an abundant number, since it is smaller than the sum of its proper divisors (10621009920).

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

4675868160 is a wasteful number, since it uses less digits than its factorization.

4675868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228 (or 14212 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 4675868160 is about 68380.3199758527. The cubic root of 4675868160 is about 1672.1969197950.

The spelling of 4675868160 in words is "four billion, six hundred seventy-five million, eight hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 512 516 640 645 688 768 860 960 1032 1280 1290 1376 1536 1720 1920 2064 2560 2580 2752 3440 3840 4128 5160 5504 6880 7680 8256 10320 11008 13760 14159 16512 20640 22016 27520 28318 33024 41280 42477 55040 56636 66048 70795 82560 84954 110080 113272 141590 165120 169908 212385 226544 283180 330240 339816 424770 453088 566360 608837 679632 849540 906176 1132720 1217674 1359264 1699080 1812352 1826511 2265440 2435348 2718528 3044185 3398160 3624704 3653022 4530880 4870696 5437056 6088370 6796320 7249408 7306044 9061760 9132555 9741392 10874112 12176740 13592640 14612088 18123520 18265110 19482784 21748224 24353480 27185280 29224176 36247040 36530220 38965568 48706960 54370560 58448352 73060440 77931136 97413920 108741120 116896704 146120880 155862272 194827840 233793408 292241760 311724544 389655680 467586816 584483520 779311360 935173632 1168967040 1558622720 2337934080 4675868160