Search a number
-
+
352421550666630 = 23353315903668033
BaseRepresentation
bin101000000100001101000100…
…1010101101011001110000110
31201012211011121210220100221000
41100020122021111223032012
5332143033313432313010
63245312120400234130
7134142421363234164
oct12010321125531606
91635734553810830
10352421550666630
11a232415a816585
12336397a830b946
1312185295727023
146305418caa234
152ab245ed177c0
hex140868956b386

352421550666630 has 128 divisors (see below), whose sum is σ = 942791146813440. Its totient is φ = 93679142768640.

The previous prime is 352421550666569. The next prime is 352421550666631. The reversal of 352421550666630 is 36666055124253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352421550666631) 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, 527217094 + ... + 527885126.

It is an arithmetic number, because the mean of its divisors is an integer number (7365555834480).

Almost surely, 2352421550666630 is an apocalyptic number.

352421550666630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352421550666630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471395573406720).

352421550666630 is an abundant number, since it is smaller than the sum of its proper divisors (590369596146810).

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

352421550666630 is a wasteful number, since it uses less digits than its factorization.

352421550666630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674283 (or 674277 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 352421550666630 in words is "three hundred fifty-two trillion, four hundred twenty-one billion, five hundred fifty million, six hundred sixty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 331 662 993 1655 1986 2979 3310 4965 5903 5958 8937 9930 11806 14895 17709 17874 29515 29790 35418 44685 53127 59030 88545 89370 106254 159381 177090 265635 318762 531270 668033 796905 1336066 1593810 1953893 2004099 3340165 3907786 4008198 5861679 6012297 6680330 9769465 10020495 11723358 12024594 17585037 18036891 19538930 20040990 29308395 30061485 35170074 36073782 52755111 58616790 60122970 87925185 90184455 105510222 175850370 180368910 221118923 263775555 442237846 527551110 663356769 1105594615 1326713538 1990070307 2211189230 3316783845 3943398799 3980140614 5970210921 6633567690 7886797598 9950351535 11830196397 11940421842 19716993995 19900703070 23660392794 29851054605 35490589191 39433987990 59150981985 59702109210 70981178382 106471767573 118301963970 177452945955 212943535146 354905891910 532358837865 1064717675730 1305265002469 2610530004938 3915795007407 6526325012345 7831590014814 11747385022221 13052650024690 19578975037035 23494770044442 35242155066663 39157950074070 58736925111105 70484310133326 117473850222210 176210775333315 352421550666630