Search a number
-
+
33105431424 = 273136631697
BaseRepresentation
bin11110110101001111…
…001100101110000000
310011110011201011102210
4132311033030232000
51020244442301144
623113004142120
72251245344532
oct366517145600
9104404634383
1033105431424
111304917568a
1264bab37940
1331778723a0
141860a57852
15cdb596ab9
hex7b53ccb80

33105431424 has 64 divisors (see below), whose sum is σ = 94700647440. Its totient is φ = 10186285056.

The previous prime is 33105431419. The next prime is 33105431431. The reversal of 33105431424 is 42413450133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 33105431391 and 33105431400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3310857 + ... + 3320840.

Almost surely, 233105431424 is an apocalyptic number.

It is an amenable number.

33105431424 is an abundant number, since it is smaller than the sum of its proper divisors (61595216016).

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

33105431424 is a wasteful number, since it uses less digits than its factorization.

33105431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631727 (or 6631715 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 33105431424 its reverse (42413450133), we get a palindrome (75518881557).

The spelling of 33105431424 in words is "thirty-three billion, one hundred five million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6631697 13263394 19895091 26526788 39790182 53053576 79580364 86212061 106107152 159160728 172424122 212214304 258636183 318321456 344848244 424428608 517272366 636642912 689696488 848857216 1034544732 1273285824 1379392976 2069089464 2546571648 2758785952 4138178928 5517571904 8276357856 11035143808 16552715712 33105431424