Search a number
-
+
12426898576 = 24292314
BaseRepresentation
bin10111001001011001…
…10110110010010000
31012002001101212002211
423210230312302100
5200422241223301
65413035321504
7616643616001
oct134454666220
935061355084
1012426898576
1152a7729914
1224a98b0294
131230733531
1485c5c51a8
154cae99051
hex2e4b36c90

12426898576 has 75 divisors (see below), whose sum is σ = 25767189305. Its totient is φ = 5805670080.

The previous prime is 12426898571. The next prime is 12426898577. The reversal of 12426898576 is 67589862421.

The square root of 12426898576 is 111476.

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., 6516364176 + 5910534400 = 80724^2 + 76880^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 12426898576.

It is not an unprimeable number, because it can be changed into a prime (12426898571) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 400867681 + ... + 400867711.

Almost surely, 212426898576 is an apocalyptic number.

12426898576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12426898576 is the 111476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12426898576

12426898576 is an abundant number, since it is smaller than the sum of its proper divisors (13340290729).

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

12426898576 is an frugal number, since it uses more digits than its factorization.

12426898576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 62 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 12426898576 in words is "twelve billion, four hundred twenty-six million, eight hundred ninety-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 841 899 961 1682 1798 1922 3364 3596 3844 6728 7192 7688 13456 14384 15376 26071 27869 29791 52142 55738 59582 104284 111476 119164 208568 222952 238328 417136 445904 476656 808201 863939 923521 1616402 1727878 1847042 3232804 3455756 3694084 6465608 6911512 7388168 12931216 13823024 14776336 25054231 26782109 50108462 53564218 100216924 107128436 200433848 214256872 400867696 428513744 776681161 1553362322 3106724644 6213449288 12426898576