Search a number
-
+
8628779952 = 2432137164921
BaseRepresentation
bin10000000100101000…
…01011101110110000
3211021100120102211200
420002110023232300
5120132431424302
63544120411200
7423554263602
oct100224135660
924240512750
108628779952
1137287a3101
121809916b00
13a768a7570
145bbdc3172
1535780081c
hex20250bbb0

8628779952 has 120 divisors (see below), whose sum is σ = 26372874528. Its totient is φ = 2617574400.

The previous prime is 8628779917. The next prime is 8628779963. The reversal of 8628779952 is 2599778268.

It is a self number, because there is not a number n which added to its sum of digits gives 8628779952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100452 + ... + 165372.

Almost surely, 28628779952 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 8628779952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186437264).

8628779952 is an abundant number, since it is smaller than the sum of its proper divisors (17744094576).

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

8628779952 is a wasteful number, since it uses less digits than its factorization.

8628779952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65019 (or 65010 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 8628779952 is about 92891.2264533094. The cubic root of 8628779952 is about 2051.0825099338.

The spelling of 8628779952 in words is "eight billion, six hundred twenty-eight million, seven hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 71 72 78 104 117 142 144 156 208 213 234 284 312 426 468 568 624 639 852 923 936 1136 1278 1704 1846 1872 2556 2769 3408 3692 5112 5538 7384 8307 10224 11076 14768 16614 22152 33228 44304 64921 66456 129842 132912 194763 259684 389526 519368 584289 779052 843973 1038736 1168578 1558104 1687946 2337156 2531919 3116208 3375892 4609391 4674312 5063838 6751784 7595757 9218782 9348624 10127676 13503568 13828173 15191514 18437564 20255352 27656346 30383028 36875128 40510704 41484519 55312692 59922083 60766056 73750256 82969038 110625384 119844166 121532112 165938076 179766249 221250768 239688332 331876152 359532498 479376664 539298747 663752304 719064996 958753328 1078597494 1438129992 2157194988 2876259984 4314389976 8628779952