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150239412648 = 2332132317334027
BaseRepresentation
bin1000101111101011110…
…1111000000110101000
3112100210102221221021200
42023322331320012220
54430142242201043
6153004040004200
713566033636213
oct2137275700650
9470712857250
10150239412648
1158797260446
122514aa60660
1311224055b50
1473b34b277a
153d94b217d3
hex22faf781a8

150239412648 has 192 divisors, whose sum is σ = 457627847040. Its totient is φ = 44181130752.

The previous prime is 150239412611. The next prime is 150239412649. The reversal of 150239412648 is 846214932051.

150239412648 is a `hidden beast` number, since 1 + 502 + 3 + 94 + 12 + 6 + 48 = 666.

It is a super-2 number, since 2×1502394126482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150239412649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37306011 + ... + 37310037.

It is an arithmetic number, because the mean of its divisors is an integer number (2383478370).

Almost surely, 2150239412648 is an apocalyptic number.

150239412648 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 150239412648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228813923520).

150239412648 is an abundant number, since it is smaller than the sum of its proper divisors (307388434392).

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

150239412648 is a wasteful number, since it uses less digits than its factorization.

150239412648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 150239412648 in words is "one hundred fifty billion, two hundred thirty-nine million, four hundred twelve thousand, six hundred forty-eight".