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4135072396 = 2271321098017
BaseRepresentation
bin1111011001111000…
…0011001010001100
3101200011212102221111
43312132003022030
531432034304041
61522152541404
7204320351440
oct36636031214
911604772844
104135072396
111832160104
129749b1864
1350b8c4c00
142b3274820
15193056981
hexf678328c

4135072396 has 72 divisors (see below), whose sum is σ = 9038531040. Its totient is φ = 1620642816.

The previous prime is 4135072369. The next prime is 4135072397. The reversal of 4135072396 is 6932705314.

It is a happy number.

4135072396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41350723962 = 34197647440322361632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135072397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511780 + ... + 519796.

Almost surely, 24135072396 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 4135072396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519265520).

4135072396 is an abundant number, since it is smaller than the sum of its proper divisors (4903458644).

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

4135072396 is a wasteful number, since it uses less digits than its factorization.

4135072396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 4135072396 is about 64304.5285808084. The cubic root of 4135072396 is about 1605.0714597635.

The spelling of 4135072396 in words is "four billion, one hundred thirty-five million, seventy-two thousand, three hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 109 169 182 218 338 364 436 676 763 1183 1417 1526 2366 2834 3052 4732 5668 8017 9919 16034 18421 19838 32068 36842 39676 56119 73684 104221 112238 128947 208442 224476 257894 416884 515788 729547 873853 1354873 1459094 1747706 2709746 2918188 3495412 5419492 6116971 9484111 11360089 12233942 18968222 22720178 24467884 37936444 45440356 79520623 147681157 159041246 295362314 318082492 590724628 1033768099 2067536198 4135072396