Search a number
-
+
33853197144 = 2331328346449
BaseRepresentation
bin11111100001110011…
…101100101101011000
310020101021202121011110
4133201303230231120
51023312404302034
623315115300320
72305625266524
oct374163545530
9106337677143
1033853197144
11133a227a088
12668944a6a0
133266766c00
1418d20a6d84
15d32051de9
hex7e1cecb58

33853197144 has 48 divisors (see below), whose sum is σ = 91644021000. Its totient is φ = 10416367104.

The previous prime is 33853197143. The next prime is 33853197187. The reversal of 33853197144 is 44179135833.

It is a happy number.

It is a super-2 number, since 2×338531971442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33853197093 and 33853197102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33853197143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4169169 + ... + 4177280.

Almost surely, 233853197144 is an apocalyptic number.

It is an amenable number.

33853197144 is an abundant number, since it is smaller than the sum of its proper divisors (57790823856).

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

33853197144 is a wasteful number, since it uses less digits than its factorization.

33853197144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8346484 (or 8346467 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 33853197144 in words is "thirty-three billion, eight hundred fifty-three million, one hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 8346449 16692898 25039347 33385796 50078694 66771592 100157388 108503837 200314776 217007674 325511511 434015348 651023022 868030696 1302046044 1410549881 2604092088 2821099762 4231649643 5642199524 8463299286 11284399048 16926598572 33853197144