Search a number
-
+
103762296758884 = 2223222929672
BaseRepresentation
bin10111100101111100001010…
…110101101110001001100100
3111121101120121212102110002211
4113211330022311232021210
5102100020140432241014
61004403424023213204
730566402305012531
oct2745741265561144
9447346555373084
10103762296758884
1130075385496545
12b7799b32a7204
1345b898664ba8a
141b8a19c929d88
15bee16729ecc4
hex5e5f0ad6e264

103762296758884 has 81 divisors (see below), whose sum is σ = 190852138474137. Its totient is φ = 49357646398368.

The previous prime is 103762296758851. The next prime is 103762296758977. The reversal of 103762296758884 is 488857692267301.

The square root of 103762296758884 is 10186378.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 96639162792484 + 7123133966400 = 9830522^2 + 2668920^2 .

It is a super-2 number, since 2×1037622967588842 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103762296758884.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107303305369 + ... + 107303306335.

It is a 2-persistent number, because it is pandigital, and so is 2⋅103762296758884 = 207524593517768, but 3⋅103762296758884 = 311286890276652 is not.

Almost surely, 2103762296758884 is an apocalyptic number.

103762296758884 is the 10186378-th square number.

It is an amenable number.

103762296758884 is a deficient number, since it is larger than the sum of its proper divisors (87089841715253).

103762296758884 is an frugal number, since it uses more digits than its factorization.

103762296758884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 76.

The spelling of 103762296758884 in words is "one hundred three trillion, seven hundred sixty-two billion, two hundred ninety-six million, seven hundred fifty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 4 23 46 92 229 458 529 916 967 1058 1934 2116 3868 5267 10534 21068 22241 44482 52441 88964 104882 121141 209764 221443 242282 442886 484564 511543 885772 935089 1023086 1206143 1870178 2046172 2412286 3740356 4824572 5093189 10186378 20372756 21507047 27741289 43014094 50710447 55482578 86028188 101420894 110965156 117143347 202841788 214135381 234286694 428270762 468573388 494662081 856541524 989324162 1166340281 1978648324 2332680562 4665361124 4925113763 9850227526 19700455052 26825826463 49037002249 53651652926 98074004498 107303305852 113277616549 196148008996 226555233098 453110466196 1127851051727 2255702103454 4511404206908 25940574189721 51881148379442 103762296758884