Search a number
-
+
33542300000 = 25551130493
BaseRepresentation
bin11111001111010001…
…101110000101100000
310012120121202101110102
4133033101232011200
51022143312100000
623224211521532
72265131563046
oct371721560540
9105517671412
1033542300000
11132528324a0
1266012b92a8
1332172220c1
1418a2a98396
15d14ade3d5
hex7cf46e160

33542300000 has 144 divisors (see below), whose sum is σ = 90046830384. Its totient is φ = 12196800000.

The previous prime is 33542299961. The next prime is 33542300053. The reversal of 33542300000 is 324533.

It is a super-2 number, since 2×335423000002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084754 + ... + 1115246.

It is an arithmetic number, because the mean of its divisors is an integer number (625325211).

Almost surely, 233542300000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33542300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45023415192).

33542300000 is an abundant number, since it is smaller than the sum of its proper divisors (56504530384).

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

33542300000 is an equidigital number, since it uses as much as digits as its factorization.

33542300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30539 (or 30511 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 33542300000 its reverse (324533), we get a palindrome (33542624533).

The spelling of 33542300000 in words is "thirty-three billion, five hundred forty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 30493 34375 44000 50000 55000 60986 68750 100000 110000 121972 137500 152465 220000 243944 275000 304930 335423 487888 550000 609860 670846 762325 975776 1100000 1219720 1341692 1524650 1677115 2439440 2683384 3049300 3354230 3811625 4878880 5366768 6098600 6708460 7623250 8385575 10733536 12197200 13416920 15246500 16771150 19058125 24394400 26833840 30493000 33542300 38116250 41927875 53667680 60986000 67084600 76232500 83855750 95290625 121972000 134169200 152465000 167711500 190581250 209639375 268338400 304930000 335423000 381162500 419278750 609860000 670846000 762325000 838557500 1048196875 1341692000 1524650000 1677115000 2096393750 3049300000 3354230000 4192787500 6708460000 8385575000 16771150000 33542300000