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1358162009820 = 22345711389983
BaseRepresentation
bin10011110000111000110…
…000111001111011011100
311210211122122102200110000
4103300320300321323130
5134223003433303240
62515533033214300
7200060343414210
oct23607060717334
94724578380400
101358162009820
11483aa2058000
1219b279861390
139b0c6b22775
1449a41cb6940
15254e0118430
hex13c38c39edc

1358162009820 has 480 divisors, whose sum is σ = 5355882233856. Its totient is φ = 282212346240.

The previous prime is 1358162009807. The next prime is 1358162009857. The reversal of 1358162009820 is 289002618531.

1358162009820 is a `hidden beast` number, since 1 + 3 + 581 + 62 + 0 + 0 + 9 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15048549 + ... + 15138531.

Almost surely, 21358162009820 is an apocalyptic number.

1358162009820 is a gapful number since it is divisible by the number (10) 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 1358162009820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677941116928).

1358162009820 is an abundant number, since it is smaller than the sum of its proper divisors (3997720224036).

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

1358162009820 is a wasteful number, since it uses less digits than its factorization.

1358162009820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90044 (or 90011 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1358162009820 in words is "one trillion, three hundred fifty-eight billion, one hundred sixty-two million, nine thousand, eight hundred twenty".