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4013783334 = 2331117596737
BaseRepresentation
bin1110111100111101…
…0111100100100110
3101100201122022122000
43233033113210212
531210012031314
61502141150130
7201315411141
oct35717274446
911321568560
104013783334
11177a748910
1294025b346
134bc739332
142a1101058
15187599209
hexef3d7926

4013783334 has 128 divisors (see below), whose sum is σ = 10478937600. Its totient is φ = 1125181440.

The previous prime is 4013783327. The next prime is 4013783339. The reversal of 4013783334 is 4333873104.

It is a super-2 number, since 2×40137833342 = 32220913304592311112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013783339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 592414 + ... + 599150.

It is an arithmetic number, because the mean of its divisors is an integer number (81866700).

Almost surely, 24013783334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013783334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239468800).

4013783334 is an abundant number, since it is smaller than the sum of its proper divisors (6465154266).

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

4013783334 is a wasteful number, since it uses less digits than its factorization.

4013783334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6835 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4013783334 is about 63354.4263173458. The cubic root of 4013783334 is about 1589.2222682722. Note that the first 4 decimals are identical.

The spelling of 4013783334 in words is "four billion, thirteen million, seven hundred eighty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 59 66 99 102 118 153 177 187 198 297 306 354 374 459 531 561 594 649 918 1003 1062 1122 1298 1593 1683 1947 2006 3009 3186 3366 3894 5049 5841 6018 6737 9027 10098 11033 11682 13474 17523 18054 20211 22066 27081 33099 35046 40422 54162 60633 66198 74107 99297 114529 121266 148214 181899 198594 222321 229058 297891 343587 363798 397483 444642 595782 666963 687174 794966 1030761 1192449 1259819 1333926 2000889 2061522 2384898 2519638 3092283 3577347 3779457 4001778 4372313 6184566 6757211 7154694 7558914 8744626 10732041 11338371 13116939 13514422 20271633 21464082 22676742 26233878 34015113 39350817 40543266 60814899 68030226 74329321 78701634 118052451 121629798 148658642 182444697 222987963 236104902 364889394 445975926 668963889 1337927778 2006891667 4013783334