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153921830464 = 263796767219
BaseRepresentation
bin1000111101011001110…
…1001011111001000000
3112201022002002010212201
42033112131023321000
510010212442033324
6154413303002544
714056216654213
oct2172635137100
9481262063781
10153921830464
115a306951456
12259b8139454
131168cc319bc
14764259777a
15400d063444
hex23d674be40

153921830464 has 56 divisors (see below), whose sum is σ = 314022800960. Its totient is φ = 74802341376.

The previous prime is 153921830453. The next prime is 153921830497. The reversal of 153921830464 is 464038129351.

It is a happy number.

153921830464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 2256247 + ... + 2323465.

Almost surely, 2153921830464 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 153921830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157011400480).

153921830464 is an abundant number, since it is smaller than the sum of its proper divisors (160100970496).

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

153921830464 is an equidigital number, since it uses as much as digits as its factorization.

153921830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68235 (or 68225 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 153921830464 in words is "one hundred fifty-three billion, nine hundred twenty-one million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 967 1184 1934 2368 3868 7736 15472 30944 35779 61888 67219 71558 134438 143116 268876 286232 537752 572464 1075504 1144928 2151008 2289856 2487103 4302016 4974206 9948412 19896824 39793648 65000773 79587296 130001546 159174592 260003092 520006184 1040012368 2080024736 2405028601 4160049472 4810057202 9620114404 19240228808 38480457616 76960915232 153921830464