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4123036032 = 27315768389
BaseRepresentation
bin1111010111000000…
…1000100110000000
3101122100012221011020
43311300020212000
531420444123112
61521042545440
7204113141133
oct36560104600
911570187136
104123036032
111826389aa5
12970968280
1350926c4bb
142b182021a
15191e7a48c
hexf5c08980

4123036032 has 64 divisors (see below), whose sum is σ = 11021732400. Its totient is φ = 1365571584.

The previous prime is 4123036031. The next prime is 4123036069. The reversal of 4123036032 is 2306303214.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×41230360322 = 33998852242340610048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4123035993 and 4123036011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123036031) 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, 26094 + ... + 94482.

Almost surely, 24123036032 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 4123036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510866200).

4123036032 is an abundant number, since it is smaller than the sum of its proper divisors (6898696368).

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

4123036032 is a wasteful number, since it uses less digits than its factorization.

4123036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68563 (or 68551 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 4123036032 is about 64210.8716028680. The cubic root of 4123036032 is about 1603.5125995512.

Adding to 4123036032 its reverse (2306303214), we get a palindrome (6429339246).

The spelling of 4123036032 in words is "four billion, one hundred twenty-three million, thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 20096 30144 60288 68389 136778 205167 273556 410334 547112 820668 1094224 1641336 2188448 3282672 4376896 6565344 8753792 10737073 13130688 21474146 26261376 32211219 42948292 64422438 85896584 128844876 171793168 257689752 343586336 515379504 687172672 1030759008 1374345344 2061518016 4123036032