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153991534528 = 26132132710729
BaseRepresentation
bin1000111101101010011…
…1000101011111000000
3112201110221020110212201
42033122213011133000
510010333313101103
6154424233002544
714061024306106
oct2173247053700
9481427213781
10153991534528
115a342230117
1225a17553454
13116a14c8900
14764b93dc76
15401423151d
hex23da9c57c0

153991534528 has 84 divisors (see below), whose sum is σ = 331171235040. Its totient is φ = 71012837376.

The previous prime is 153991534523. The next prime is 153991534589. The reversal of 153991534528 is 825435199351.

153991534528 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 not an unprimeable number, because it can be changed into a prime (153991534523) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14347468 + ... + 14358196.

Almost surely, 2153991534528 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 153991534528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165585617520).

153991534528 is an abundant number, since it is smaller than the sum of its proper divisors (177179700512).

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

153991534528 is a wasteful number, since it uses less digits than its factorization.

153991534528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12094 (or 12071 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 55.

The spelling of 153991534528 in words is "one hundred fifty-three billion, nine hundred ninety-one million, five hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1327 1352 2654 2704 5308 5408 10616 10729 10816 17251 21232 21458 34502 42464 42916 69004 84928 85832 138008 139477 171664 224263 276016 278954 343328 448526 552032 557908 686656 897052 1104064 1115816 1794104 1813201 2231632 3588208 3626402 4463264 7176416 7252804 8926528 14237383 14352832 14505608 28474766 29011216 56949532 58022432 113899064 116044864 185085979 227798128 370171958 455596256 740343916 911192512 1480687832 2406117727 2961375664 4812235454 5922751328 9624470908 11845502656 19248941816 38497883632 76995767264 153991534528