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6652749420 = 22325314725367
BaseRepresentation
bin1100011001000100…
…01110011001101100
3122011122022200112200
412030202032121230
5102111100440140
63020051301500
7323601302622
oct61442163154
918148280480
106652749420
112904338119
121357baa890
138203a3325
144717a7512
1528e0c5030
hex18c88e66c

6652749420 has 144 divisors (see below), whose sum is σ = 21275025408. Its totient is φ = 1680243840.

The previous prime is 6652749413. The next prime is 6652749463. The reversal of 6652749420 is 249472566.

6652749420 is a `hidden beast` number, since 66 + 527 + 49 + 4 + 20 = 666.

It is a super-3 number, since 3×66527494203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249577 + ... + 274943.

It is an arithmetic number, because the mean of its divisors is an integer number (147743232).

Almost surely, 26652749420 is an apocalyptic number.

6652749420 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 6652749420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637512704).

6652749420 is an abundant number, since it is smaller than the sum of its proper divisors (14622275988).

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

6652749420 is a wasteful number, since it uses less digits than its factorization.

6652749420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25460 (or 25455 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6652749420 is about 81564.3881850407. The cubic root of 6652749420 is about 1880.7614823048.

The spelling of 6652749420 in words is "six billion, six hundred fifty-two million, seven hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 465 470 558 564 620 705 846 930 940 1116 1395 1410 1457 1692 1860 2115 2790 2820 2914 4230 4371 5580 5828 7285 8460 8742 13113 14570 17484 21855 25367 26226 29140 43710 50734 52452 65565 76101 87420 101468 126835 131130 152202 228303 253670 262260 304404 380505 456606 507340 761010 786377 913212 1141515 1192249 1522020 1572754 2283030 2359131 2384498 3145508 3576747 3931885 4566060 4718262 4768996 5961245 7077393 7153494 7863770 9436524 10730241 11795655 11922490 14154786 14306988 15727540 17883735 21460482 23591310 23844980 28309572 35386965 35767470 36959719 42920964 47182620 53651205 70773930 71534940 73919438 107302410 110879157 141547860 147838876 184798595 214604820 221758314 332637471 369597190 443516628 554395785 665274942 739194380 1108791570 1330549884 1663187355 2217583140 3326374710 6652749420