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48021906204 = 223217619411367
BaseRepresentation
bin101100101110010101…
…000010001100011100
311120221201200121001200
4230232111002030130
51241322101444304
634021100035500
73320012316306
oct545625021434
9146851617050
1048021906204
1119403128998
129382532b90
1346b3cc561c
142477b38976
1513b0dace39
hexb2e54231c

48021906204 has 144 divisors (see below), whose sum is σ = 130870748736. Its totient is φ = 14792140800.

The previous prime is 48021906181. The next prime is 48021906211. The reversal of 48021906204 is 40260912084.

48021906204 is a `hidden beast` number, since 4 + 8 + 0 + 21 + 9 + 0 + 620 + 4 = 666.

It is a super-2 number, since 2×480219062042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35128729 + ... + 35130095.

It is an arithmetic number, because the mean of its divisors is an integer number (908824644).

Almost surely, 248021906204 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 48021906204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65435374368).

48021906204 is an abundant number, since it is smaller than the sum of its proper divisors (82848842532).

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

48021906204 is a wasteful number, since it uses less digits than its factorization.

48021906204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48021906204 in words is "forty-eight billion, twenty-one million, nine hundred six thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 941 1037 1098 1367 1882 2074 2196 2734 2823 3111 3764 4101 4148 5468 5646 6222 8202 8469 9333 11292 12303 12444 15997 16404 16938 18666 23239 24606 31994 33876 37332 46478 47991 49212 57401 63988 69717 83387 92956 95982 114802 139434 143973 166774 172203 191964 209151 229604 250161 278868 287946 333548 344406 418302 500322 516609 575892 688812 750483 836604 975817 1000644 1033218 1286347 1417579 1500966 1951634 2066436 2572694 2835158 2927451 3001932 3859041 3903268 4252737 5145388 5670316 5854902 7718082 8505474 8782353 11577123 11709804 12758211 15436164 17010948 17564706 21867899 23154246 25516422 35129412 43735798 46308492 51032844 65603697 78467167 87471596 131207394 156934334 196811091 235401501 262414788 313868668 393622182 470803002 706204503 787244364 941606004 1333941839 1412409006 2667883678 2824818012 4001825517 5335767356 8003651034 12005476551 16007302068 24010953102 48021906204