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155345409648 = 2432111319397051
BaseRepresentation
bin1001000010101101001…
…1101101011001110000
3112211222021210110101200
42100223103231121300
510021121411102043
6155210435131200
714136414123642
oct2205323553160
9484867713350
10155345409648
115a977485580
1226134a43b00
1311858b47a50
147739686892
1540930147d3
hex242b4ed670

155345409648 has 240 divisors, whose sum is σ = 537640172160. Its totient is φ = 41166144000.

The previous prime is 155345409631. The next prime is 155345409673. The reversal of 155345409648 is 846904543551.

155345409648 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 4 + 540 + 96 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 155345409594 and 155345409603.

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, 192723 + ... + 589773.

It is an arithmetic number, because the mean of its divisors is an integer number (2240167384).

Almost surely, 2155345409648 is an apocalyptic number.

155345409648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155345409648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268820086080).

155345409648 is an abundant number, since it is smaller than the sum of its proper divisors (382294762512).

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

155345409648 is a wasteful number, since it uses less digits than its factorization.

155345409648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397108 (or 397099 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 155345409648 in words is "one hundred fifty-five billion, three hundred forty-five million, four hundred nine thousand, six hundred forty-eight".