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4011413312 = 26373834423
BaseRepresentation
bin1110111100011001…
…0100111101000000
3101100120011220120102
43233012110331000
531203410211222
61502014301532
7201256310354
oct35706247500
911316156512
104011413312
11177937a215
1293b4b78a8
134bc0b965a
142a0a85464
1518727bd92
hexef194f40

4011413312 has 56 divisors (see below), whose sum is σ = 8198486016. Its totient is φ = 1945963008.

The previous prime is 4011413311. The next prime is 4011413317. The reversal of 4011413312 is 2133141104.

4011413312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011413311) 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, 904733 + ... + 909155.

It is an arithmetic number, because the mean of its divisors is an integer number (146401536).

Almost surely, 24011413312 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 4011413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099243008).

4011413312 is an abundant number, since it is smaller than the sum of its proper divisors (4187072704).

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

4011413312 is a wasteful number, since it uses less digits than its factorization.

4011413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4011413312 is about 63335.7190848892. The cubic root of 4011413312 is about 1588.9094102192.

Adding to 4011413312 its reverse (2133141104), we get a palindrome (6144554416).

The spelling of 4011413312 in words is "four billion, eleven million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 383 592 766 1184 1532 2368 3064 4423 6128 8846 12256 14171 17692 24512 28342 35384 56684 70768 113368 141536 163651 226736 283072 327302 453472 654604 906944 1309208 1694009 2618416 3388018 5236832 6776036 10473664 13552072 27104144 54208288 62678333 108416576 125356666 250713332 501426664 1002853328 2005706656 4011413312