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6696129480 = 2335475920123
BaseRepresentation
bin1100011110001111…
…01101001111001000
3122021122221121210120
412033013231033020
5102203202120410
63024241143240
7324636106245
oct61707551710
918248847716
106696129480
112926877207
12136a62ab20
138293814c1
1447745a5cc
15292ce3570
hex18f1ed3c8

6696129480 has 128 divisors (see below), whose sum is σ = 20864563200. Its totient is φ = 1717935872.

The previous prime is 6696129437. The next prime is 6696129499. The reversal of 6696129480 is 849216966.

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, 322699 + ... + 342821.

It is an arithmetic number, because the mean of its divisors is an integer number (163004400).

Almost surely, 26696129480 is an apocalyptic number.

6696129480 is a gapful number since it is divisible by the number (60) 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 6696129480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432281600).

6696129480 is an abundant number, since it is smaller than the sum of its proper divisors (14168433720).

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

6696129480 is a wasteful number, since it uses less digits than its factorization.

6696129480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20243 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 6696129480 is about 81829.8813392761. The cubic root of 6696129480 is about 1884.8405402803.

The spelling of 6696129480 in words is "six billion, six hundred ninety-six million, one hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 59 60 94 118 120 141 177 188 235 236 282 295 354 376 470 472 564 590 705 708 885 940 1128 1180 1410 1416 1770 1880 2360 2773 2820 3540 5546 5640 7080 8319 11092 13865 16638 20123 22184 27730 33276 40246 41595 55460 60369 66552 80492 83190 100615 110920 120738 160984 166380 201230 241476 301845 332760 402460 482952 603690 804920 945781 1187257 1207380 1891562 2374514 2414760 2837343 3561771 3783124 4728905 4749028 5674686 5936285 7123542 7566248 9457810 9498056 11349372 11872570 14186715 14247084 17808855 18915620 22698744 23745140 28373430 28494168 35617710 37831240 47490280 55801079 56746860 71235420 111602158 113493720 142470840 167403237 223204316 279005395 334806474 446408632 558010790 669612948 837016185 1116021580 1339225896 1674032370 2232043160 3348064740 6696129480