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155513001540 = 2235131797120907
BaseRepresentation
bin1001000011010101001…
…1000001011001000100
3112212101222011000020210
42100311103001121010
510021442312022130
6155235223155420
714143520463021
oct2206523013104
9485358130223
10155513001540
115aa53042876
1226180ba5b70
1311884795c50
147753a30548
1540a2abb5b0
hex24354c1644

155513001540 has 192 divisors, whose sum is σ = 501638586624. Its totient is φ = 35656630272.

The previous prime is 155513001529. The next prime is 155513001563. The reversal of 155513001540 is 45100315551.

155513001540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155513001498 and 155513001507.

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, 1225767 + ... + 1346673.

It is an arithmetic number, because the mean of its divisors is an integer number (2612700972).

Almost surely, 2155513001540 is an apocalyptic number.

155513001540 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 155513001540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250819293312).

155513001540 is an abundant number, since it is smaller than the sum of its proper divisors (346125585084).

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

155513001540 is a wasteful number, since it uses less digits than its factorization.

155513001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121046 (or 121044 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 155513001540 in words is "one hundred fifty-five billion, five hundred thirteen million, one thousand, five hundred forty".