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2668639050 = 2325271177017
BaseRepresentation
bin1001111100010000…
…0011001101001010
320212222111220120100
42133010003031022
520431132422200
61120450110230
7123063025530
oct23704031512
96788456510
102668639050
11114a417020
1262587b376
13336b5617c
141b45cc150
1510943cd00
hex9f10334a

2668639050 has 144 divisors (see below), whose sum is σ = 8939017152. Its totient is φ = 554515200.

The previous prime is 2668639049. The next prime is 2668639067. The reversal of 2668639050 is 509368662.

It is a happy number.

2668639050 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 639 + 0 + 5 + 0 = 666.

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 = 2668638987 and 2668639005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3859 + ... + 73158.

It is an arithmetic number, because the mean of its divisors is an integer number (62076508).

Almost surely, 22668639050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668639050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469508576).

2668639050 is an abundant number, since it is smaller than the sum of its proper divisors (6270378102).

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

2668639050 is a wasteful number, since it uses less digits than its factorization.

2668639050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77053 (or 77045 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2668639050 is about 51658.8719389032. The cubic root of 2668639050 is about 1387.0643579981.

The spelling of 2668639050 in words is "two billion, six hundred sixty-eight million, six hundred thirty-nine thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4950 5775 6930 11550 17325 34650 77017 154034 231051 385085 462102 539119 693153 770170 847187 1078238 1155255 1386306 1617357 1694374 1925425 2310510 2541561 2695595 3234714 3465765 3850850 4235935 4852071 5083122 5391190 5776275 5930309 6931530 7624683 8086785 8471870 9704142 11552550 11860618 12707805 13477975 15249366 16173570 17328825 17790927 21179675 24260355 25415610 26955950 29651545 34657650 35581854 38123415 40433925 42359350 48520710 53372781 59303090 63539025 76246830 80867850 88954635 106745562 121301775 127078050 148257725 177909270 190617075 242603550 266863905 296515450 381234150 444773175 533727810 889546350 1334319525 2668639050