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155945297088 = 2633743535657
BaseRepresentation
bin1001000100111100010…
…0000110010011000000
3112220112002120220021000
42101033010012103000
510023333444001323
6155350144532000
714160320103630
oct2211704062300
9486462526230
10155945297088
1160155066919
1226281921000
1311923204329
1477952006c0
1540caa0de43
hex244f1064c0

155945297088 has 448 divisors, whose sum is σ = 546340101120. Its totient is φ = 42690945024.

The previous prime is 155945297069. The next prime is 155945297089. The reversal of 155945297088 is 880792549551.

155945297088 is a `hidden beast` number, since 1 + 559 + 4 + 5 + 2 + 9 + 70 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (155945297089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27563956 + ... + 27569612.

Almost surely, 2155945297088 is an apocalyptic number.

155945297088 is a gapful number since it is divisible by the number (18) 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 155945297088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273170050560).

155945297088 is an abundant number, since it is smaller than the sum of its proper divisors (390394804032).

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

155945297088 is a wasteful number, since it uses less digits than its factorization.

155945297088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 155945297088 in words is "one hundred fifty-five billion, nine hundred forty-five million, two hundred ninety-seven thousand, eighty-eight".