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151027244928 = 273672172967
BaseRepresentation
bin1000110010100111101…
…1001101111110000000
3112102211100101222000000
42030221323031332000
54433300433314203
6153214142000000
713624411254300
oct2145173157600
9472740358000
10151027244928
1159060a404aa
122532a876000
131131b3385b1
147449d91600
153dddd934a3
hex2329ecdf80

151027244928 has 1344 divisors, whose sum is σ = 583361643600. Its totient is φ = 38626689024.

The previous prime is 151027244923. The next prime is 151027244959. The reversal of 151027244928 is 829442720151.

151027244928 is a `hidden beast` number, since 1 + 510 + 2 + 7 + 2 + 44 + 92 + 8 = 666.

151027244928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151027244923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2254137951 + ... + 2254138017.

Almost surely, 2151027244928 is an apocalyptic number.

151027244928 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 151027244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291680821800).

151027244928 is an abundant number, since it is smaller than the sum of its proper divisors (432334398672).

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

151027244928 is an equidigital number, since it uses as much as digits as its factorization.

151027244928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 151027244928 in words is "one hundred fifty-one billion, twenty-seven million, two hundred forty-four thousand, nine hundred twenty-eight".