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153932842392 = 233729431913847
BaseRepresentation
bin1000111101011100011…
…1001100010110011000
3112201022211210121101220
42033113013030112120
510010223301424032
6154414335012040
714056412400030
oct2172707142630
9481284717356
10153932842392
115a31209291a
12259bb96a020
13116922b9034
147643c228c0
15400dedb12c
hex23d71cc598

153932842392 has 256 divisors, whose sum is σ = 468113817600. Its totient is φ = 41248811520.

The previous prime is 153932842337. The next prime is 153932842423. The reversal of 153932842392 is 293248239351.

153932842392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 40011813 + ... + 40015659.

It is an arithmetic number, because the mean of its divisors is an integer number (1828569600).

Almost surely, 2153932842392 is an apocalyptic number.

153932842392 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 153932842392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234056908800).

153932842392 is an abundant number, since it is smaller than the sum of its proper divisors (314180975208).

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

153932842392 is a wasteful number, since it uses less digits than its factorization.

153932842392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4122 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The spelling of 153932842392 in words is "one hundred fifty-three billion, nine hundred thirty-two million, eight hundred forty-two thousand, three hundred ninety-two".