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11012314432 = 267193127363
BaseRepresentation
bin10100100000110001…
…01001010101000000
31001102110121112110111
422100120221111000
5140023123030212
65020424041104
7536616061660
oct122030512500
931373545414
1011012314432
114741189909
122174003194
1310666497b2
147667981a0
15446bc2ea7
hex290629540

11012314432 has 56 divisors (see below), whose sum is σ = 25103953856. Its totient is φ = 4695072768.

The previous prime is 11012314321. The next prime is 11012314441. The reversal of 11012314432 is 23441321011.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22783 + ... + 150145.

Almost surely, 211012314432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551976928).

11012314432 is an abundant number, since it is smaller than the sum of its proper divisors (14091639424).

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

11012314432 is a wasteful number, since it uses less digits than its factorization.

11012314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127575 (or 127565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11012314432 its reverse (23441321011), we get a palindrome (34453635443).

The spelling of 11012314432 in words is "eleven billion, twelve million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 193 224 386 448 772 1351 1544 2702 3088 5404 6176 10808 12352 21616 43232 86464 127363 254726 509452 891541 1018904 1783082 2037808 3566164 4075616 7132328 8151232 14264656 24581059 28529312 49162118 57058624 98324236 172067413 196648472 344134826 393296944 688269652 786593888 1376539304 1573187776 2753078608 5506157216 11012314432