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149648497152 = 293711712251
BaseRepresentation
bin1000101101011110111…
…1101101101000000000
3112022021021001022121120
42023113233231220000
54422440003402102
6152425250352240
713545300144420
oct2132757555000
9468237038546
10149648497152
1158513747930
1225004b8b680
131115b7bb1cb
147358c12480
153d5ccea6bc
hex22d7beda00

149648497152 has 480 divisors, whose sum is σ = 506154604032. Its totient is φ = 38169600000.

The previous prime is 149648497151. The next prime is 149648497157. The reversal of 149648497152 is 251794846941.

149648497152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1496484971522 (a number of 23 digits) contains 22 as substring.

Its product of digits (17418240) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149648497151) 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 47 ways as a sum of consecutive naturals, for example, 596209027 + ... + 596209277.

Almost surely, 2149648497152 is an apocalyptic number.

149648497152 is a gapful number since it is divisible by the number (12) 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 149648497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253077302016).

149648497152 is an abundant number, since it is smaller than the sum of its proper divisors (356506106880).

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

149648497152 is an equidigital number, since it uses as much as digits as its factorization.

149648497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 345 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 149648497152 in words is "one hundred forty-nine billion, six hundred forty-eight million, four hundred ninety-seven thousand, one hundred fifty-two".