Search a number
-
+
33543135140 = 22523373116337
BaseRepresentation
bin11111001111010100…
…111001111110100100
310012120200022211001112
4133033110321332210
51022144020311030
623224241444152
72265141641624
oct371724717644
9105520284045
1033543135140
1113253252999
126601640658
133217455278
1418a2c34884
15d14c06a95
hex7cf539fa4

33543135140 has 96 divisors (see below), whose sum is σ = 75744474624. Its totient is φ = 12444917760.

The previous prime is 33543135139. The next prime is 33543135191. The reversal of 33543135140 is 4153134533.

It is a super-2 number, since 2×335431351402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33543135097 and 33543135106.

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, 5290052 + ... + 5296388.

It is an arithmetic number, because the mean of its divisors is an integer number (789004944).

Almost surely, 233543135140 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 33543135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37872237312).

33543135140 is an abundant number, since it is smaller than the sum of its proper divisors (42201339484).

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

33543135140 is a wasteful number, since it uses less digits than its factorization.

33543135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 33543135140 its reverse (4153134533), we get a palindrome (37696269673).

The spelling of 33543135140 in words is "thirty-three billion, five hundred forty-three million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 311 370 460 622 740 851 1244 1555 1702 3110 3404 4255 6220 6337 7153 8510 11507 12674 14306 17020 23014 25348 28612 31685 35765 46028 57535 63370 71530 115070 126740 143060 145751 230140 234469 264661 291502 468938 529322 583004 728755 937876 1058644 1172345 1323305 1457510 1970807 2344690 2646610 2915020 3941614 4689380 5293220 5392787 7883228 9854035 10785574 19708070 21571148 26963935 39416140 45328561 53927870 72919859 90657122 107855740 145839718 181314244 226642805 291679436 364599295 453285610 729198590 906571220 1458397180 1677156757 3354313514 6708627028 8385783785 16771567570 33543135140