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4013396712 = 23321312493433
BaseRepresentation
bin1110111100110111…
…1001001011101000
3101100200220200021200
43233031321023220
531204412143322
61502125004200
7201312211023
oct35715711350
911320820250
104013396712
11177a504396
129400b3660
134bc632370
142a10401ba
1518751e8ac
hexef3792e8

4013396712 has 96 divisors (see below), whose sum is σ = 11718525000. Its totient is φ = 1233543168.

The previous prime is 4013396711. The next prime is 4013396713. The reversal of 4013396712 is 2176933104.

It is an interprime number because it is at equal distance from previous prime (4013396711) and next prime (4013396713).

It can be written as a sum of positive squares in 4 ways, for example, as 2268997956 + 1744398756 = 47634^2 + 41766^2 .

It is a super-2 number, since 2×40133967122 = 32214706335784821888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4013396711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167348 + ... + 1170780.

Almost surely, 24013396712 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 4013396712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859262500).

4013396712 is an abundant number, since it is smaller than the sum of its proper divisors (7705128288).

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

4013396712 is a wasteful number, since it uses less digits than its factorization.

4013396712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4013396712 is about 63351.3749811320. The cubic root of 4013396712 is about 1589.1712401050.

The spelling of 4013396712 in words is "four billion, thirteen million, three hundred ninety-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1249 2498 3433 3747 4996 6866 7494 9992 10299 11241 13732 14988 16237 20598 22482 27464 29976 30897 32474 41196 44629 44964 48711 61794 64948 82392 89258 89928 97422 123588 129896 133887 146133 178516 194844 247176 267774 292266 357032 389688 401661 535548 584532 803322 1071096 1169064 1606644 3213288 4287817 8575634 12863451 17151268 25726902 34302536 38590353 51453804 55741621 77180706 102907608 111483242 154361412 167224863 222966484 308722824 334449726 445932968 501674589 668899452 1003349178 1337798904 2006698356 4013396712