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155232986040 = 233251131721959
BaseRepresentation
bin1001000010010010011…
…0110110001110111000
3112211200110020202012100
42100210212312032320
510020404121023130
6155151341343400
714133550416216
oct2204446661670
9484613222170
10155232986040
115a919a79000
1226103267b60
131183b7744c2
14772877dcb6
154088208c60
hex24249b63b8

155232986040 has 1152 divisors, whose sum is σ = 631024992000. Its totient is φ = 32985722880.

The previous prime is 155232986017. The next prime is 155232986093. The reversal of 155232986040 is 40689232551.

155232986040 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 32 + 9 + 8 + 604 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2631067531 + ... + 2631067589.

It is an arithmetic number, because the mean of its divisors is an integer number (547764750).

Almost surely, 2155232986040 is an apocalyptic number.

155232986040 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 155232986040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315512496000).

155232986040 is an abundant number, since it is smaller than the sum of its proper divisors (475792005960).

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

155232986040 is a wasteful number, since it uses less digits than its factorization.

155232986040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 155232986040 in words is "one hundred fifty-five billion, two hundred thirty-two million, nine hundred eighty-six thousand, forty".