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4156507404 = 22327315310039
BaseRepresentation
bin1111011110111111…
…0100010100001100
3101201200012110020200
43313233310110030
532003031214104
61524240213500
7205000505250
oct36757642414
911650173220
104156507404
111843270595
1298000a290
1351318b54a
142b6054260
15194d8cb39
hexf7bf450c

4156507404 has 144 divisors (see below), whose sum is σ = 12630159360. Its totient is φ = 1127468160.

The previous prime is 4156507391. The next prime is 4156507441. The reversal of 4156507404 is 4047056514.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 409017 + ... + 419055.

It is an arithmetic number, because the mean of its divisors is an integer number (87709440).

Almost surely, 24156507404 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 4156507404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315079680).

4156507404 is an abundant number, since it is smaller than the sum of its proper divisors (8473651956).

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

4156507404 is a wasteful number, since it uses less digits than its factorization.

4156507404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4156507404 is about 64470.9811000267. The cubic root of 4156507404 is about 1607.8400886125.

The spelling of 4156507404 in words is "four billion, one hundred fifty-six million, five hundred seven thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 53 62 63 84 93 106 124 126 159 186 212 217 252 279 318 371 372 434 477 558 636 651 742 868 954 1113 1116 1302 1484 1643 1908 1953 2226 2604 3286 3339 3906 4452 4929 6572 6678 7812 9858 10039 11501 13356 14787 19716 20078 23002 29574 30117 34503 40156 46004 59148 60234 69006 70273 90351 103509 120468 138012 140546 180702 207018 210819 281092 311209 361404 414036 421638 532067 622418 632457 843276 933627 1064134 1244836 1264914 1596201 1867254 2128268 2178463 2529828 2800881 3192402 3724469 3734508 4356926 4788603 5601762 6384804 6535389 7448938 8713852 9577206 11173407 11203524 13070778 14897876 16494077 19154412 19606167 22346814 26141556 32988154 33520221 39212334 44693628 49482231 65976308 67040442 78424668 98964462 115458539 134080884 148446693 197928924 230917078 296893386 346375617 461834156 593786772 692751234 1039126851 1385502468 2078253702 4156507404