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450525110672 = 247136112973911
BaseRepresentation
bin1101000111001010110…
…00111010000110010000
31121001212212110221001002
412203211120322012100
524340133412020142
6542545100401132
744356301153450
oct6434530720620
91531785427032
10450525110672
1116408075290a
1273393b461a8
133363b115830
1417b3c543d60
15babc416a32
hex68e563a190

450525110672 has 160 divisors (see below), whose sum is σ = 1093062372864. Its totient is φ = 175127961600.

The previous prime is 450525110639. The next prime is 450525110699. The reversal of 450525110672 is 276011525054.

It is a super-3 number, since 3×4505251106723 (a number of 36 digits) contains 333 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, 115192397 + ... + 115196307.

Almost surely, 2450525110672 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 450525110672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546531186432).

450525110672 is an abundant number, since it is smaller than the sum of its proper divisors (642537262192).

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

450525110672 is a wasteful number, since it uses less digits than its factorization.

450525110672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 450525110672 in words is "four hundred fifty billion, five hundred twenty-five million, one hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 61 91 104 112 122 182 208 244 364 427 488 728 793 854 976 1297 1456 1586 1708 2594 3172 3416 3911 5188 5551 6344 6832 7822 9079 10376 11102 12688 15644 16861 18158 20752 22204 27377 31288 33722 36316 44408 50843 54754 62576 67444 72632 79117 88816 101686 109508 118027 134888 145264 158234 203372 219016 236054 238571 269776 316468 355901 406744 438032 472108 477142 553819 632936 711802 813488 944216 954284 1028521 1107638 1265872 1423604 1669997 1888432 1908568 2057042 2215276 2847208 3101423 3339994 3817136 4114084 4430552 5072567 5694416 6202846 6679988 7199647 8228168 8861104 10145134 12405692 13359976 14399294 16456336 20290268 21709961 24811384 26719952 28798588 35507969 40580536 43419922 49622768 57597176 65943371 71015938 81161072 86839844 115194352 131886742 142031876 173679688 263773484 284063752 309426587 347359376 461603597 527546968 568127504 618853174 923207194 1055093936 1237706348 1846414388 2165986109 2475412696 3692828776 4022545631 4331972218 4950825392 7385657552 8045091262 8663944436 16090182524 17327888872 28157819417 32180365048 34655777744 56315638834 64360730096 112631277668 225262555336 450525110672