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11436840468 = 2233196191369
BaseRepresentation
bin10101010011011000…
…00101011000010100
31002112001102200201000
422221230011120110
5141410312343333
65130511103300
7553262353134
oct125154053024
932461380630
1011436840468
114939886579
122272211b30
131103597631
147a6d04ac4
1546e0cd713
hex2a9b05614

11436840468 has 96 divisors (see below), whose sum is σ = 31723664000. Its totient is φ = 3552387840.

The previous prime is 11436840433. The next prime is 11436840469. The reversal of 11436840468 is 86404863411.

11436840468 is a `hidden beast` number, since 1 + 143 + 6 + 8 + 40 + 468 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11436840469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79488 + ... + 170856.

Almost surely, 211436840468 is an apocalyptic number.

11436840468 is a gapful number since it is divisible by the number (18) 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 11436840468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861832000).

11436840468 is an abundant number, since it is smaller than the sum of its proper divisors (20286823532).

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

11436840468 is a wasteful number, since it uses less digits than its factorization.

11436840468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91462 (or 91454 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 11436840468 in words is "eleven billion, four hundred thirty-six million, eight hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 108 114 122 171 183 228 244 342 366 513 549 684 732 1026 1098 1159 1647 2052 2196 2318 3294 3477 4636 6588 6954 10431 13908 20862 31293 41724 62586 91369 125172 182738 274107 365476 548214 822321 1096428 1644642 1736011 2466963 3289284 3472022 4933926 5208033 5573509 6944044 9867852 10416066 11147018 15624099 16720527 20832132 22294036 31248198 33441054 46872297 50161581 62496396 66882108 93744594 100323162 105896671 150484743 187489188 200646324 211793342 300969486 317690013 423586684 601938972 635380026 953070039 1270760052 1906140078 2859210117 3812280156 5718420234 11436840468