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155609802240 = 2935313072129
BaseRepresentation
bin1001000011101100010…
…0010010011000000000
3112212122201021222211220
42100323010102120000
510022142102132430
6155253002035040
714146104331554
oct2207304223000
9485581258756
10155609802240
115aaa2749652
12261a94a8a80
131189b859479
14776282b864
1540ab33d110
hex243b112600

155609802240 has 320 divisors, whose sum is σ = 515427010560. Its totient is φ = 40007761920.

The previous prime is 155609802239. The next prime is 155609802251. The reversal of 155609802240 is 42208906551.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 155609802192 and 155609802201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73089496 + ... + 73091624.

It is an arithmetic number, because the mean of its divisors is an integer number (1610709408).

Almost surely, 2155609802240 is an apocalyptic number.

155609802240 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 155609802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257713505280).

155609802240 is an abundant number, since it is smaller than the sum of its proper divisors (359817208320).

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

155609802240 is a wasteful number, since it uses less digits than its factorization.

155609802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 155609802240 in words is "one hundred fifty-five billion, six hundred nine million, eight hundred two thousand, two hundred forty".