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912426144100 = 225259216192
BaseRepresentation
bin11010100011100001101…
…01100001000101100100
310020020010112202121101121
431101300311201011210
5104422122043102400
61535055054503324
7122630525154622
oct15216065410544
93206115677347
10912426144100
11321a59853879
12128a01804b44
136806ccb70b3
1432239852512
1518b033c721a
hexd470d61164

912426144100 has 81 divisors (see below), whose sum is σ = 2015337052057. Its totient is φ = 358562908960.

The previous prime is 912426144073. The next prime is 912426144107. The reversal of 912426144100 is 1441624219.

It is a happy number.

The square root of 912426144100 is 955210.

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., 328473411876 + 583952732224 = 573126^2 + 764168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (912426144107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 563573091 + ... + 563574709.

Almost surely, 2912426144100 is an apocalyptic number.

912426144100 is the 955210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 912426144100

912426144100 is an abundant number, since it is smaller than the sum of its proper divisors (1102910907957).

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

912426144100 is an equidigital number, since it uses as much as digits as its factorization.

912426144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 912426144100 its reverse (1441624219), we get a palindrome (913867768319).

The spelling of 912426144100 in words is "nine hundred twelve billion, four hundred twenty-six million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 1619 2950 3238 3481 5900 6476 6962 8095 13924 16190 17405 32380 34810 40475 69620 80950 87025 95521 161900 174050 191042 348100 382084 477605 955210 1910420 2388025 2621161 4776050 5242322 5635739 9552100 10484644 11271478 13105805 22542956 26211610 28178695 52423220 56357390 65529025 112714780 131058050 140893475 154648499 262116100 281786950 309296998 563573900 618593996 773242495 1546484990 3092969980 3866212475 7732424950 9124261441 15464849900 18248522882 36497045764 45621307205 91242614410 182485228820 228106536025 456213072050 912426144100