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154395428928 = 263132313192039
BaseRepresentation
bin1000111111001010101…
…1110100100001000000
3112202112002020102211120
42033302223310201000
510012200212211203
6154532301512240
714104030330566
oct2176253644100
9482462212746
10154395428928
115a52a215a44
1225b0a872680
13117370a1990
147689439a36
154039913b53
hex23f2af4840

154395428928 has 224 divisors, whose sum is σ = 459628646400. Its totient is φ = 45384075264.

The previous prime is 154395428911. The next prime is 154395428939. The reversal of 154395428928 is 829824593451.

It is a super-2 number, since 2×1543954289282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75720133 + ... + 75722171.

It is an arithmetic number, because the mean of its divisors is an integer number (2051913600).

Almost surely, 2154395428928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154395428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229814323200).

154395428928 is an abundant number, since it is smaller than the sum of its proper divisors (305233217472).

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

154395428928 is a wasteful number, since it uses less digits than its factorization.

154395428928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3399 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 60.

The spelling of 154395428928 in words is "one hundred fifty-four billion, three hundred ninety-five million, four hundred twenty-eight thousand, nine hundred twenty-eight".