Search a number
-
+
96144508206 = 232191672297351
BaseRepresentation
bin101100110001010101…
…0001100010100101110
3100012011110212001210100
41121202222030110232
53033400443230311
6112100154251530
76642356556435
oct1314252142456
9305143761710
1096144508206
113785808304a
1216772726ba6
1390b2b16356
144920da611c
15277aa0ba56
hex1662a8c52e

96144508206 has 96 divisors (see below), whose sum is σ = 221583398400. Its totient is φ = 30043742400.

The previous prime is 96144508171. The next prime is 96144508211. The reversal of 96144508206 is 60280544169.

96144508206 is a `hidden beast` number, since 9 + 614 + 4 + 5 + 0 + 8 + 20 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13075431 + ... + 13082781.

It is an arithmetic number, because the mean of its divisors is an integer number (2308160400).

Almost surely, 296144508206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96144508206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110791699200).

96144508206 is an abundant number, since it is smaller than the sum of its proper divisors (125438890194).

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

96144508206 is a wasteful number, since it uses less digits than its factorization.

96144508206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 96144508206 in words is "ninety-six billion, one hundred forty-four million, five hundred eight thousand, two hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 229 334 342 458 501 687 1002 1374 1503 2061 3006 3173 4122 4351 6346 7351 8702 9519 13053 14702 19038 22053 26106 28557 38243 39159 44106 57114 66159 76486 78318 114729 132318 139669 229458 279338 344187 419007 688374 726617 838014 1227617 1257021 1453234 1683379 2179851 2455234 2514042 3366758 3682851 4359702 5050137 6539553 7365702 10100274 11048553 13079106 15150411 22097106 23324723 30300822 31984201 46649446 63968402 69974169 95952603 139948338 191905206 209922507 281124293 287857809 419845014 562248586 575715618 843372879 1686745758 2530118637 5060237274 5341361567 10682723134 16024084701 32048169402 48072254103 96144508206