Search a number
-
+
33101449781148 = 2233726254998069
BaseRepresentation
bin1111000011011000010000…
…01001111101111110011100
311100012110121221121220001000
413201230020021331332130
513314313232120444043
6154222332431350300
76654333532511100
oct741541011757634
9140173557556030
1033101449781148
11a6022784a2971
123867348682390
1315615b7c39c48
14826193a93900
153c60a0b822d3
hex1e1b0827df9c

33101449781148 has 72 divisors (see below), whose sum is σ = 99829769197200. Its totient is φ = 9457557078816.

The previous prime is 33101449781123. The next prime is 33101449781219. The reversal of 33101449781148 is 84118794410133.

33101449781148 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 1 + 4 + 497 + 8 + 1 + 148 = 666.

It is a super-2 number, since 2×331014497811482 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33101449781094 and 33101449781103.

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, 3127493743 + ... + 3127504326.

Almost surely, 233101449781148 is an apocalyptic number.

It is an amenable number.

33101449781148 is an abundant number, since it is smaller than the sum of its proper divisors (66728319416052).

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

33101449781148 is a wasteful number, since it uses less digits than its factorization.

33101449781148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254998096 (or 6254998081 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 33101449781148 in words is "thirty-three trillion, one hundred one billion, four hundred forty-nine million, seven hundred eighty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 6254998069 12509996138 18764994207 25019992276 37529988414 43784986483 56294982621 75059976828 87569972966 112589965242 131354959449 168884947863 175139945932 225179930484 262709918898 306494905381 337769895726 394064878347 525419837796 612989810762 675539791452 788129756694 919484716143 1182194635041 1225979621524 1576259513388 1838969432286 2364389270082 2758454148429 3677938864572 4728778540164 5516908296858 8275362445287 11033816593716 16550724890574 33101449781148