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5461645811148 = 22321927312923787
BaseRepresentation
bin100111101111010001101…
…1101010101110111001100
3201100010110111011011121200
41033132203131111313030
51203440422311424043
615341013452225500
71102406450261112
oct117364335256714
921303414134550
105461645811148
1118162a874821a
1274260616b290
13308053115127
1414c4b8c19ab2
159710b0ba7d3
hex4f7a3755dcc

5461645811148 has 72 divisors (see below), whose sum is σ = 14537775645120. Its totient is φ = 1724098128480.

The previous prime is 5461645811147. The next prime is 5461645811179. The reversal of 5461645811148 is 8411185461645.

It is a happy number.

5461645811148 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 6 + 4 + 581 + 11 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5461645811094 and 5461645811103.

It is not an unprimeable number, because it can be changed into a prime (5461645811147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406111 + ... + 3329897.

Almost surely, 25461645811148 is an apocalyptic number.

It is an amenable number.

5461645811148 is an abundant number, since it is smaller than the sum of its proper divisors (9076129833972).

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

5461645811148 is a wasteful number, since it uses less digits than its factorization.

5461645811148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926547 (or 2926542 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 5461645811148 in words is "five trillion, four hundred sixty-one billion, six hundred forty-five million, eight hundred eleven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 2731 5462 8193 10924 16386 24579 32772 49158 51889 98316 103778 155667 207556 311334 467001 622668 934002 1868004 2923787 5847574 8771361 11695148 17542722 26314083 35085444 52628166 55551953 105256332 111103906 166655859 222207812 333311718 499967577 666623436 999935154 1999870308 7984862297 15969724594 23954586891 31939449188 47909173782 71863760673 95818347564 143727521346 151712383643 287455042692 303424767286 455137150929 606849534572 910274301858 1365411452787 1820548603716 2730822905574 5461645811148