Search a number
-
+
332126460511530 = 235411635651293147
BaseRepresentation
bin100101110000100010011011…
…1101100110000010100101010
31121112221222110002020210112120
41023201010313230300110222
5322013024442342332110
63134212442320052110
7126646226210244336
oct11341046754602452
91545858402223476
10332126460511530
119690a04a492403
12313003bb764036
1311342510898879
145c03013a207c6
15285e58886b870
hex12e1137b3052a

332126460511530 has 128 divisors (see below), whose sum is σ = 821702718176256. Its totient is φ = 85861290816000.

The previous prime is 332126460511529. The next prime is 332126460511553. The reversal of 332126460511530 is 35115064621233.

It is a happy number.

It is a super-2 number, since 2×3321264605115302 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1132822417 + ... + 1133115563.

It is an arithmetic number, because the mean of its divisors is an integer number (6419552485752).

Almost surely, 2332126460511530 is an apocalyptic number.

332126460511530 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 332126460511530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410851359088128).

332126460511530 is an abundant number, since it is smaller than the sum of its proper divisors (489576257664726).

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

332126460511530 is a wasteful number, since it uses less digits than its factorization.

332126460511530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299012.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 332126460511530 in words is "three hundred thirty-two trillion, one hundred twenty-six billion, four hundred sixty million, five hundred eleven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 163 205 246 326 410 489 615 815 978 1230 1630 2445 4890 5651 6683 11302 13366 16953 20049 28255 33415 33906 40098 56510 66830 84765 100245 169530 200490 231691 293147 463382 586294 695073 879441 921113 1158455 1390146 1465735 1758882 1842226 2316910 2763339 2931470 3475365 4397205 4605565 5526678 6950730 8794410 9211130 12019027 13816695 24038054 27633390 36057081 37765633 47782961 60095135 72114162 75531266 95565922 113296899 120190270 143348883 180285405 188828165 226593798 238914805 286697766 360570810 377656330 477829610 566484495 716744415 1132968990 1433488830 1656573697 1959101401 3313147394 3918202802 4969721091 5877304203 8282868485 9795507005 9939442182 11754608406 16565736970 19591014010 24848605455 29386521015 49697210910 58773042030 67919521577 135839043154 203758564731 270021512611 339597607885 407517129462 540043025222 679195215770 810064537833 1018792823655 1350107563055 1620129075666 2037585647310 2700215126110 4050322689165 8100645378330 11070882017051 22141764034102 33212646051153 55354410085255 66425292102306 110708820170510 166063230255765 332126460511530