Search a number
-
+
7437940068 = 22313294734981
BaseRepresentation
bin1101110110101010…
…11111010101100100
3201012100210111121210
412323111133111210
5110213103040233
63230020511420
7352214306316
oct67325372544
921170714553
107437940068
113177583509
121536b4b570
13916c6c590
14507b997b6
152d7ec4163
hex1bb55f564

7437940068 has 96 divisors (see below), whose sum is σ = 19746639360. Its totient is φ = 2162603520.

The previous prime is 7437940061. The next prime is 7437940091. The reversal of 7437940068 is 8600497347.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7437939999 and 7437940026.

It is not an unprimeable number, because it can be changed into a prime (7437940061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195138 + ... + 230118.

It is an arithmetic number, because the mean of its divisors is an integer number (205694160).

Almost surely, 27437940068 is an apocalyptic number.

7437940068 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7437940068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873319680).

7437940068 is an abundant number, since it is smaller than the sum of its proper divisors (12308699292).

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

7437940068 is a wasteful number, since it uses less digits than its factorization.

7437940068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35077 (or 35075 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 7437940068 is about 86243.4929023634. The cubic root of 7437940068 is about 1952.0198284877.

The spelling of 7437940068 in words is "seven billion, four hundred thirty-seven million, nine hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 47 52 58 78 87 94 116 141 156 174 188 282 348 377 564 611 754 1131 1222 1363 1508 1833 2262 2444 2726 3666 4089 4524 5452 7332 8178 16356 17719 34981 35438 53157 69962 70876 104943 106314 139924 209886 212628 419772 454753 909506 1014449 1364259 1644107 1819012 2028898 2728518 3043347 3288214 4057796 4932321 5457036 6086694 6576428 9864642 12173388 13187837 19729284 21373391 26375674 39563511 42746782 47679103 52751348 64120173 79127022 85493564 95358206 128240346 143037309 158254044 190716412 256480692 286074618 572149236 619828339 1239656678 1859485017 2479313356 3718970034 7437940068