Search a number
-
+
3350511083640 = 2335727291461599
BaseRepresentation
bin110000110000011010000…
…001011110000001111000
3102212022020212201012202210
4300300122001132001320
5414343321314134030
611043111544255120
7464031534211110
oct60603201360170
912768225635683
103350511083640
111081a421827a6
124614274714a0
131b3c4b264486
14b82465a8040
155c24b59ebb0
hex30c1a05e078

3350511083640 has 128 divisors (see below), whose sum is σ = 11491683840000. Its totient is φ = 765549954048.

The previous prime is 3350511083603. The next prime is 3350511083659. The reversal of 3350511083640 is 463801150533.

It is a super-2 number, since 2×33505110836402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561561 + ... + 3023159.

It is an arithmetic number, because the mean of its divisors is an integer number (89778780000).

Almost surely, 23350511083640 is an apocalyptic number.

3350511083640 is a gapful number since it is divisible by the number (30) 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 3350511083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745841920000).

3350511083640 is an abundant number, since it is smaller than the sum of its proper divisors (8141172756360).

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

3350511083640 is a wasteful number, since it uses less digits than its factorization.

3350511083640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464349 (or 1464345 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 3350511083640 in words is "three trillion, three hundred fifty billion, five hundred eleven million, eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2729 5458 8187 10916 13645 16374 19103 21832 27290 32748 38206 40935 54580 57309 65496 76412 81870 95515 109160 114618 152824 163740 191030 229236 286545 327480 382060 458472 573090 764120 1146180 1461599 2292360 2923198 4384797 5846396 7307995 8769594 10231193 11692792 14615990 17539188 20462386 21923985 29231980 30693579 35078376 40924772 43847970 51155965 58463960 61387158 81849544 87695940 102311930 122774316 153467895 175391880 204623860 245548632 306935790 409247720 613871580 1227743160 3988703671 7977407342 11966111013 15954814684 19943518355 23932222026 27920925697 31909629368 39887036710 47864444052 55841851394 59830555065 79774073420 83762777091 95728888104 111683702788 119661110130 139604628485 159548146840 167525554182 223367405576 239322220260 279209256970 335051108364 418813885455 478644440520 558418513940 670102216728 837627770910 1116837027880 1675255541820 3350511083640