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150829523064 = 23331125770949
BaseRepresentation
bin1000110001111000100…
…0111110000001111000
3112102022120100122121000
42030132020332001320
54432344324214224
6153142400045000
713616460535563
oct2143610760170
9472276318530
10150829523064
1158a6a374100
1225294603760
13112b939b1cc
14742ba034da
153dcb8390c9
hex231e23e078

150829523064 has 96 divisors (see below), whose sum is σ = 460521810000. Its totient is φ = 45705908160.

The previous prime is 150829523063. The next prime is 150829523081. The reversal of 150829523064 is 460325928051.

150829523064 is a `hidden beast` number, since 1 + 50 + 8 + 295 + 2 + 306 + 4 = 666.

150829523064 is digitally balanced in base 3, 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 (150829523063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2859339 + ... + 2911610.

Almost surely, 2150829523064 is an apocalyptic number.

It is an amenable number.

150829523064 is an abundant number, since it is smaller than the sum of its proper divisors (309692286936).

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

150829523064 is a wasteful number, since it uses less digits than its factorization.

150829523064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770986 (or 5770965 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 150829523064 in words is "one hundred fifty billion, eight hundred twenty-nine million, five hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 26136 5770949 11541898 17312847 23083796 34625694 46167592 51938541 63480439 69251388 103877082 126960878 138502776 155815623 190441317 207754164 253921756 311631246 380882634 415508328 507843512 571323951 623262492 698284829 761765268 1142647902 1246524984 1396569658 1523530536 1713971853 2094854487 2285295804 2793139316 3427943706 4189708974 4570591608 5586278632 6284563461 6855887412 8379417948 12569126922 13711774824 16758835896 18853690383 25138253844 37707380766 50276507688 75414761532 150829523064