Search a number
-
+
11451331026256 = 2411295342332063
BaseRepresentation
bin1010011010100011100010…
…0001001001110101010000
31111112201212221121100200211
42212220320201021311100
53000104311220320011
640204400245453504
72261221441462162
oct246507041116520
944481787540624
1011451331026256
113715533913060
12134b417711294
13650b184b11c4
142b8366b44932
1514cd1e715b21
hexa6a38849d50

11451331026256 has 80 divisors (see below), whose sum is σ = 25510995048960. Its totient is φ = 4930838581760.

The previous prime is 11451331026251. The next prime is 11451331026269. The reversal of 11451331026256 is 65262013315411.

It is a super-2 number, since 2×114513310262562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451331026251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20895520 + ... + 21436543.

It is an arithmetic number, because the mean of its divisors is an integer number (318887438112).

Almost surely, 211451331026256 is an apocalyptic number.

11451331026256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11451331026256 is an abundant number, since it is smaller than the sum of its proper divisors (14059664022704).

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

11451331026256 is a wasteful number, since it uses less digits than its factorization.

11451331026256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42332164 (or 42332158 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 11451331026256 in words is "eleven trillion, four hundred fifty-one billion, three hundred thirty-one million, twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 53 58 88 106 116 176 212 232 319 424 464 583 638 848 1166 1276 1537 2332 2552 3074 4664 5104 6148 9328 12296 16907 24592 33814 67628 135256 270512 42332063 84664126 169328252 338656504 465652693 677313008 931305386 1227629827 1862610772 2243599339 2455259654 3725221544 4487198678 4910519308 7450443088 8974397356 9821038616 13503928097 17948794712 19642077232 24679592729 27007856194 35897589424 49359185458 54015712388 65064380831 98718370916 108031424776 130128761662 197436741832 216062849552 260257523324 394873483664 520515046648 715708189141 1041030093296 1431416378282 2862832756564 5725665513128 11451331026256