Search a number
-
+
3344554423650 = 2352112593310747
BaseRepresentation
bin110000101010110110111…
…110100111010101100010
3102211201212202012112102010
4300222312332213111202
5414244121413024100
611040244520333350
7463431114351336
oct60526676472542
912751782175363
103344554423650
11107a465863a00
12460244614256
131b350c1615ab
14b7c3d43b7c6
155beed678750
hex30ab6fa7562

3344554423650 has 144 divisors (see below), whose sum is σ = 9132493420512. Its totient is φ = 809431180800.

The previous prime is 3344554423649. The next prime is 3344554423663. The reversal of 3344554423650 is 563244554433.

It is a super-2 number, since 2×33445544236502 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3344554423650.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10607577 + ... + 10918323.

It is an arithmetic number, because the mean of its divisors is an integer number (63420093198).

Almost surely, 23344554423650 is an apocalyptic number.

3344554423650 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 3344554423650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566246710256).

3344554423650 is an abundant number, since it is smaller than the sum of its proper divisors (5787938996862).

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

3344554423650 is a wasteful number, since it uses less digits than its factorization.

3344554423650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311377 (or 311361 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 48.

The spelling of 3344554423650 in words is "three trillion, three hundred forty-four billion, five hundred fifty-four million, four hundred twenty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 593 605 726 825 1186 1210 1650 1779 1815 2965 3025 3558 3630 5930 6050 6523 8895 9075 13046 14825 17790 18150 19569 29650 32615 39138 44475 65230 71753 88950 97845 143506 163075 195690 215259 310747 326150 358765 430518 489225 621494 717530 932241 978450 1076295 1553735 1793825 1864482 2152590 3107470 3418217 3587650 4661205 5381475 6836434 7768675 9322410 10254651 10762950 15537350 17091085 20509302 23306025 34182170 37600387 46612050 51273255 75200774 85455425 102546510 112801161 170910850 184272971 188001935 225602322 256366275 368545942 376003870 512732550 552818913 564005805 921364855 940009675 1105637826 1128011610 1842729710 1880019350 2027002681 2764094565 2820029025 4054005362 4606824275 5528189130 5640058050 6081008043 9213648550 10135013405 12162016086 13820472825 20270026810 22297029491 27640945650 30405040215 44594058982 50675067025 60810080430 66891088473 101350134050 111485147455 133782176946 152025201075 222970294910 304050402150 334455442365 557425737275 668910884730 1114851474550 1672277211825 3344554423650