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4668968520 = 233357160889
BaseRepresentation
bin1000101100100101…
…01100111001001000
3110001101111011202000
410112102230321020
534030223443040
62051144111000
7223462402056
oct42622547110
913041434660
104668968520
111a86569177
12aa3765460
135953b7488
143241311d6
151c4d68130
hex1164ace48

4668968520 has 128 divisors (see below), whose sum is σ = 15782688000. Its totient is φ = 1227502080.

The previous prime is 4668968503. The next prime is 4668968573. The reversal of 4668968520 is 258698664.

It is a happy number.

4668968520 is a `hidden beast` number, since 466 + 89 + 6 + 85 + 20 = 666.

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 31 ways as a sum of consecutive naturals, for example, 46236 + ... + 107124.

It is an arithmetic number, because the mean of its divisors is an integer number (123302250).

Almost surely, 24668968520 is an apocalyptic number.

4668968520 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 4668968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891344000).

4668968520 is an abundant number, since it is smaller than the sum of its proper divisors (11113719480).

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

4668968520 is a wasteful number, since it uses less digits than its factorization.

4668968520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60980 (or 60970 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 4668968520 is about 68329.8508706114. The cubic root of 4668968520 is about 1671.3740254577.

The spelling of 4668968520 in words is "four billion, six hundred sixty-eight million, nine hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1917 2130 2556 2840 3195 3834 4260 5112 6390 7668 8520 9585 12780 15336 19170 25560 38340 60889 76680 121778 182667 243556 304445 365334 487112 548001 608890 730668 913335 1096002 1217780 1461336 1644003 1826670 2192004 2435560 2740005 3288006 3653340 4323119 4384008 5480010 6576012 7306680 8220015 8646238 10960020 12969357 13152024 16440030 17292476 21615595 21920040 25938714 32880060 34584952 38908071 43231190 51877428 64846785 65760120 77816142 86462380 103754856 116724213 129693570 155632284 172924760 194540355 233448426 259387140 311264568 389080710 466896852 518774280 583621065 778161420 933793704 1167242130 1556322840 2334484260 4668968520