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6668061920 = 2551310929411
BaseRepresentation
bin1100011010111001…
…01000110011100000
3122012201010122100022
412031130220303200
5102124010440140
63021355413012
7324145406522
oct61534506340
918181118308
106668061920
112911a46683
121361154168
13823604c90
14473831a12
152905ec0b5
hex18d728ce0

6668061920 has 96 divisors (see below), whose sum is σ = 17121313440. Its totient is φ = 2439383040.

The previous prime is 6668061919. The next prime is 6668061923. The reversal of 6668061920 is 291608666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6668061923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212015 + ... + 241425.

It is an arithmetic number, because the mean of its divisors is an integer number (178347015).

Almost surely, 26668061920 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 6668061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560656720).

6668061920 is an abundant number, since it is smaller than the sum of its proper divisors (10453251520).

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

6668061920 is a wasteful number, since it uses less digits than its factorization.

6668061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29548 (or 29540 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 6668061920 is about 81658.2017925940. The cubic root of 6668061920 is about 1882.2033469690.

The spelling of 6668061920 in words is "six billion, six hundred sixty-eight million, sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 109 130 160 208 218 260 416 436 520 545 872 1040 1090 1417 1744 2080 2180 2834 3488 4360 5668 7085 8720 11336 14170 17440 22672 28340 29411 45344 56680 58822 113360 117644 147055 226720 235288 294110 382343 470576 588220 764686 941152 1176440 1529372 1911715 2352880 3058744 3205799 3823430 4705760 6117488 6411598 7646860 12234976 12823196 15293720 16028995 25646392 30587440 32057990 41675387 51292784 61174880 64115980 83350774 102585568 128231960 166701548 208376935 256463920 333403096 416753870 512927840 666806192 833507740 1333612384 1667015480 3334030960 6668061920