Search a number
-
+
33850903320 = 23335132411033
BaseRepresentation
bin11111100001101010…
…111100101100011000
310020101010110001122000
4133201222330230120
51023311312401240
623314554201000
72305566634143
oct374152745430
9106333401560
1033850903320
11133a0a52763
126688723160
133266142b10
1418d1a6b05a
15d31c4c430
hex7e1abcb18

33850903320 has 128 divisors (see below), whose sum is σ = 121516113600. Its totient is φ = 8332526592.

The previous prime is 33850903309. The next prime is 33850903327. The reversal of 33850903320 is 2330905833.

It is a super-2 number, since 2×338509033202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33850903327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191477 + ... + 1219556.

Almost surely, 233850903320 is an apocalyptic number.

33850903320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33850903320 is an abundant number, since it is smaller than the sum of its proper divisors (87665210280).

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

33850903320 is a wasteful number, since it uses less digits than its factorization.

33850903320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411066 (or 2411056 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 33850903320 in words is "thirty-three billion, eight hundred fifty million, nine hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 2411033 4822066 7233099 9644132 12055165 14466198 19288264 21699297 24110330 28932396 31343429 36165495 43398594 48220660 57864792 62686858 65097891 72330990 86797188 94030287 96441320 108496485 125373716 130195782 144661980 156717145 173594376 188060574 216992970 250747432 260391564 282090861 289323960 313434290 325489455 376121148 433985940 470151435 520783128 564181722 626868580 650978910 752242296 846272583 867971880 940302870 1128363444 1253737160 1301957820 1410454305 1692545166 1880605740 2256726888 2603915640 2820908610 3385090332 3761211480 4231362915 5641817220 6770180664 8462725830 11283634440 16925451660 33850903320