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20154433992 = 233711311392531
BaseRepresentation
bin10010110001010011…
…000100000111001000
31221000121010022212020
4102301103010013020
5312234013341432
613131523244440
71312305601530
oct226123040710
957017108766
1020154433992
11860271a620
123aa5819720
131b92699ab4
14d92a064c0
157ce5c422c
hex4b14c41c8

20154433992 has 256 divisors, whose sum is σ = 65337753600. Its totient is φ = 5027616000.

The previous prime is 20154433991. The next prime is 20154434039. The reversal of 20154433992 is 29933445102.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20154433991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7961767 + ... + 7964297.

It is an arithmetic number, because the mean of its divisors is an integer number (255225600).

Almost surely, 220154433992 is an apocalyptic number.

20154433992 is a gapful number since it is divisible by the number (22) 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 20154433992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32668876800).

20154433992 is an abundant number, since it is smaller than the sum of its proper divisors (45183319608).

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

20154433992 is a wasteful number, since it uses less digits than its factorization.

20154433992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 20154433992 in words is "twenty billion, one hundred fifty-four million, four hundred thirty-three thousand, nine hundred ninety-two".