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155912427216 = 24327131731107211
BaseRepresentation
bin1001000100110100011…
…0101101011011010000
3112220102210201221021100
42101031012231123100
510023302040132331
6155343012224400
714156440523250
oct2211506553320
9486383657240
10155912427216
1160138556237
122627290b100
1311919465cc0
147790ac5960
1540c7bb9ae6
hex244d1ad6d0

155912427216 has 960 divisors, whose sum is σ = 595257901056. Its totient is φ = 36926668800.

The previous prime is 155912427211. The next prime is 155912427227. The reversal of 155912427216 is 612724219551.

155912427216 is a `hidden beast` number, since 1 + 5 + 5 + 9 + 1 + 2 + 427 + 216 = 666.

Its product of digits (302400) is a multiple of the sum of its prime factors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155912427211) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 738921351 + ... + 738921561.

Almost surely, 2155912427216 is an apocalyptic number.

155912427216 is a gapful number since it is divisible by the number (16) 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 155912427216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297628950528).

155912427216 is an abundant number, since it is smaller than the sum of its proper divisors (439345473840).

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

155912427216 is a wasteful number, since it uses less digits than its factorization.

155912427216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 155912427216 in words is "one hundred fifty-five billion, nine hundred twelve million, four hundred twenty-seven thousand, two hundred sixteen".