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6155415540 = 2232534196753
BaseRepresentation
bin1011011101110010…
…00010111111110100
3120212222111111201100
411232321002333310
5100101241244130
62454443530100
7305352111621
oct55671027764
916788444640
106155415540
11267963188a
121239529930
13771342921
14425707348
152605d6c60
hex16ee42ff4

6155415540 has 36 divisors (see below), whose sum is σ = 18671427684. Its totient is φ = 1641444096.

The previous prime is 6155415533. The next prime is 6155415569. The reversal of 6155415540 is 455145516.

6155415540 is a `hidden beast` number, since 61 + 5 + 5 + 41 + 554 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2111218704 + 4044196836 = 45948^2 + 63594^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 6155415495 and 6155415504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17098197 + ... + 17098556.

It is an arithmetic number, because the mean of its divisors is an integer number (518650769).

Almost surely, 26155415540 is an apocalyptic number.

6155415540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6155415540 is an abundant number, since it is smaller than the sum of its proper divisors (12516012144).

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

6155415540 is a wasteful number, since it uses less digits than its factorization.

6155415540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34196768 (or 34196763 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 6155415540 is about 78456.4563308846. The cubic root of 6155415540 is about 1832.6764205870.

The spelling of 6155415540 in words is "six billion, one hundred fifty-five million, four hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 34196753 68393506 102590259 136787012 170983765 205180518 307770777 341967530 410361036 512951295 615541554 683935060 1025902590 1231083108 1538853885 2051805180 3077707770 6155415540