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152041423248 = 24341121325737
BaseRepresentation
bin1000110110011001100…
…0000000000110010000
3112112110000202120010000
42031212120000012100
54442340101020443
6153502531210000
713661504526351
oct2154630000620
9475400676100
10152041423248
1159531468700
1225572446900
131145049b100
14750494dd28
153e4ce258d3
hex2366600190

152041423248 has 450 divisors, whose sum is σ = 523854089682. Its totient is φ = 42521656320.

The previous prime is 152041423231. The next prime is 152041423321. The reversal of 152041423248 is 842324140251.

152041423248 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 414 + 232 + 4 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17284886784 + 134756536464 = 131472^2 + 367092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 26499036 + ... + 26504772.

Almost surely, 2152041423248 is an apocalyptic number.

152041423248 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 152041423248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261927044841).

152041423248 is an abundant number, since it is smaller than the sum of its proper divisors (371812666434).

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

152041423248 is a wasteful number, since it uses less digits than its factorization.

152041423248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 152041423248 its reverse (842324140251), we get a palindrome (994365563499).

The spelling of 152041423248 in words is "one hundred fifty-two billion, forty-one million, four hundred twenty-three thousand, two hundred forty-eight".