Search a number
-
+
34112151752 = 23719311995197
BaseRepresentation
bin11111110001001111…
…100010000011001000
310021001100000212002212
4133301033202003020
51024330202324002
623400525444252
72315221335320
oct376117420310
9107040025085
1034112151752
1113515469558
126740110688
1332a82c33a3
141918634280
15d49b54352
hex7f13e20c8

34112151752 has 128 divisors (see below), whose sum is σ = 79841280000. Its totient is φ = 13333351680.

The previous prime is 34112151751. The next prime is 34112151767. The reversal of 34112151752 is 25715121143.

It is not an unprimeable number, because it can be changed into a prime (34112151751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6561218 + ... + 6566414.

It is an arithmetic number, because the mean of its divisors is an integer number (623760000).

Almost surely, 234112151752 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 34112151752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39920640000).

34112151752 is an abundant number, since it is smaller than the sum of its proper divisors (45729128248).

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

34112151752 is a wasteful number, since it uses less digits than its factorization.

34112151752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5455 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

Adding to 34112151752 its reverse (25715121143), we get a palindrome (59827272895).

The spelling of 34112151752 in words is "thirty-four billion, one hundred twelve million, one hundred fifty-one thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 199 217 248 266 398 434 532 589 796 868 1064 1178 1393 1592 1736 2356 2786 3781 4123 4712 5197 5572 6169 7562 8246 10394 11144 12338 15124 16492 20788 24676 26467 30248 32984 36379 41576 43183 49352 52934 72758 86366 98743 105868 117211 145516 161107 172732 197486 211736 234422 291032 322214 345464 394972 468844 644428 691201 789944 820477 937688 1034203 1127749 1288856 1382402 1640954 2068406 2255498 2764804 3061033 3281908 4136812 4510996 5529608 6122066 6563816 7239421 8273624 9021992 12244132 14478842 19649857 21427231 24488264 28957684 32060293 39299714 42854462 57915368 64120586 78599428 85708924 128241172 137548999 157198856 171417848 224422051 256482344 275097998 448844102 550195996 609145567 897688204 1100391992 1218291134 1795376408 2436582268 4264018969 4873164536 8528037938 17056075876 34112151752