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11934200224 = 253797103913
BaseRepresentation
bin10110001110101010…
…10111000110100000
31010210201022012000201
423013111113012200
5143420123401344
65252115154544
7601512012442
oct130725270640
933721265021
1011934200224
1150745aa2a1
1223908a5a54
131182636a4b
14812db0492
1549cac44d4
hex2c75571a0

11934200224 has 48 divisors (see below), whose sum is σ = 24379471368. Its totient is φ = 5745917952.

The previous prime is 11934200221. The next prime is 11934200227. The reversal of 11934200224 is 42200243911.

It is an interprime number because it is at equal distance from previous prime (11934200221) and next prime (11934200227).

It can be written as a sum of positive squares in 4 ways, for example, as 10417876624 + 1516323600 = 102068^2 + 38940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11934200192 and 11934200201.

It is not an unprimeable number, because it can be changed into a prime (11934200221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62892 + ... + 166804.

Almost surely, 211934200224 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 11934200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189735684).

11934200224 is an abundant number, since it is smaller than the sum of its proper divisors (12445271144).

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

11934200224 is a wasteful number, since it uses less digits than its factorization.

11934200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104057 (or 104049 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 11934200224 in words is "eleven billion, nine hundred thirty-four million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 97 148 194 296 388 592 776 1184 1552 3104 3589 7178 14356 28712 57424 103913 114848 207826 415652 831304 1662608 3325216 3844781 7689562 10079561 15379124 20159122 30758248 40318244 61516496 80636488 123032992 161272976 322545952 372943757 745887514 1491775028 2983550056 5967100112 11934200224