Search a number
-
+
11451432023500 = 225377873415577
BaseRepresentation
bin1010011010100011111010…
…0010011011010111001100
31111112202010222122112212111
42212220332202123113030
53000110013044223000
640204414254313404
72261224106106610
oct246507642332714
944482128575774
1011451432023500
113715585925857
12134b4454b8864
13650b333b38a1
142b8376315340
1514cd28515cba
hexa6a3e89b5cc

11451432023500 has 96 divisors (see below), whose sum is σ = 28586473598592. Its totient is φ = 3925697126400.

The previous prime is 11451432023461. The next prime is 11451432023501. The reversal of 11451432023500 is 532023415411.

It is a super-2 number, since 2×114514320235002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11451432023501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27347712 + ... + 27763288.

It is an arithmetic number, because the mean of its divisors is an integer number (297775766652).

Almost surely, 211451432023500 is an apocalyptic number.

11451432023500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451432023500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293236799296).

11451432023500 is an abundant number, since it is smaller than the sum of its proper divisors (17135041575092).

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

11451432023500 is a wasteful number, since it uses less digits than its factorization.

11451432023500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423476 (or 423464 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 11451432023500 its reverse (532023415411), we get a palindrome (11983455438911).

The spelling of 11451432023500 in words is "eleven trillion, four hundred fifty-one billion, four hundred thirty-two million, twenty-three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3500 7873 15746 31492 39365 55111 78730 110222 157460 196825 220444 275555 393650 415577 551110 787300 831154 984125 1102220 1377775 1662308 1968250 2077885 2755550 2909039 3936500 4155770 5511100 5818078 6888875 8311540 10389425 11636156 13777750 14545195 20778850 27555500 29090390 41557700 51947125 58180780 72725975 103894250 145451950 207788500 290903900 363629875 727259750 1454519500 3271837721 6543675442 13087350884 16359188605 22902864047 32718377210 45805728094 65436754420 81795943025 91611456188 114514320235 163591886050 229028640470 327183772100 408979715125 458057280940 572571601175 817959430250 1145143202350 1635918860500 2290286404700 2862858005875 5725716011750 11451432023500