Search a number
-
+
150649884672 = 212379071931
BaseRepresentation
bin1000110001001101101…
…1101101000000000000
3112101212001100002001020
42030103123231000000
54432012332302142
6153112501505440
713612146614520
oct2142333550000
9471761302036
10150649884672
1158987a29121
1225244412280
131128b0c2ac1
147411c01680
153dbaba2cec
hex23136ed000

150649884672 has 208 divisors, whose sum is σ = 459811548672. Its totient is φ = 42973102080.

The previous prime is 150649884667. The next prime is 150649884677. The reversal of 150649884672 is 276488946051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150649884667) and next prime (150649884677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150649884677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78015547 + ... + 78017477.

Almost surely, 2150649884672 is an apocalyptic number.

150649884672 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 150649884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229905774336).

150649884672 is an abundant number, since it is smaller than the sum of its proper divisors (309161664000).

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

150649884672 is an equidigital number, since it uses as much as digits as its factorization.

150649884672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 150649884672 in words is "one hundred fifty billion, six hundred forty-nine million, eight hundred eighty-four thousand, six hundred seventy-two".