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2664379350 = 2325229613347
BaseRepresentation
bin1001111011001111…
…0011001111010110
320212200111111100200
42132303303033112
520424040114400
61120214521330
7123011564553
oct23663631726
96780444320
102664379350
111147a77706
12624366246
13335cc4339
141b3bdda2a
15108d9ab00
hex9ecf33d6

2664379350 has 144 divisors (see below), whose sum is σ = 7528781520. Its totient is φ = 674553600.

The previous prime is 2664379327. The next prime is 2664379357. The reversal of 2664379350 is 539734662.

2664379350 is a `hidden beast` number, since 266 + 4 + 37 + 9 + 350 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2664379296 and 2664379305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664379357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 794377 + ... + 797723.

It is an arithmetic number, because the mean of its divisors is an integer number (52283205).

Almost surely, 22664379350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664379350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764390760).

2664379350 is an abundant number, since it is smaller than the sum of its proper divisors (4864402170).

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

2664379350 is a wasteful number, since it uses less digits than its factorization.

2664379350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 2664379350 is about 51617.6263499204. The cubic root of 2664379350 is about 1386.3259510869.

The spelling of 2664379350 in words is "two billion, six hundred sixty-four million, three hundred seventy-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 61 75 87 90 122 145 150 174 183 225 261 290 305 366 435 450 522 549 610 725 870 915 1098 1305 1450 1525 1769 1830 2175 2610 2745 3050 3347 3538 4350 4575 5307 5490 6525 6694 8845 9150 10041 10614 13050 13725 15921 16735 17690 20082 26535 27450 30123 31842 33470 44225 50205 53070 60246 79605 83675 88450 97063 100410 132675 150615 159210 167350 194126 204167 251025 265350 291189 301230 398025 408334 485315 502050 582378 612501 753075 796050 873567 970630 1020835 1225002 1455945 1506150 1747134 1837503 2041670 2426575 2911890 3062505 3675006 4367835 4853150 5104175 5920843 6125010 7279725 8735670 9187515 10208350 11841686 14559450 15312525 17762529 18375030 21839175 29604215 30625050 35525058 43678350 45937575 53287587 59208430 88812645 91875150 106575174 148021075 177625290 266437935 296042150 444063225 532875870 888126450 1332189675 2664379350