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13215555540 = 223351117130873
BaseRepresentation
bin11000100111011010…
…10101111111010100
31021010000101210002000
430103231111333110
5204031140234130
610023211115300
7645331240305
oct142355257724
937100353060
1013215555540
115671922530
122689a42b30
131327c44465
148d523a7ac
15525330260
hex313b55fd4

13215555540 has 192 divisors, whose sum is σ = 47491557120. Its totient is φ = 3015290880.

The previous prime is 13215555497. The next prime is 13215555559. The reversal of 13215555540 is 4555551231.

13215555540 is a `hidden beast` number, since 13 + 2 + 1 + 55 + 55 + 540 = 666.

It is a super-3 number, since 3×132155555403 (a number of 31 digits) contains 333 as substring.

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 = 13215555495 and 13215555504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35544 + ... + 166416.

It is an arithmetic number, because the mean of its divisors is an integer number (247351860).

Almost surely, 213215555540 is an apocalyptic number.

13215555540 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 13215555540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745778560).

13215555540 is an abundant number, since it is smaller than the sum of its proper divisors (34276001580).

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

13215555540 is a wasteful number, since it uses less digits than its factorization.

13215555540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130919 (or 130911 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 13215555540 in words is "thirteen billion, two hundred fifteen million, five hundred fifty-five thousand, five hundred forty".