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673920537552 = 2432263122914479
BaseRepresentation
bin10011100111010001100…
…10110101001111010000
32101102111200101102211100
421303220302311033100
542020142124200202
61233332251544400
766455244024213
oct11635062651720
92342450342740
10673920537552
1123a898635549
12aa73a75b100
134b7203c3a62
142489184777a
15127e475941c
hex9ce8cb53d0

673920537552 has 120 divisors (see below), whose sum is σ = 1894884076800. Its totient is φ = 223588502784.

The previous prime is 673920537529. The next prime is 673920537599. The reversal of 673920537552 is 255735029376.

673920537552 is a `hidden beast` number, since 6 + 7 + 39 + 2 + 0 + 53 + 7 + 552 = 666.

673920537552 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46537449 + ... + 46551927.

It is an arithmetic number, because the mean of its divisors is an integer number (15790700640).

Almost surely, 2673920537552 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 673920537552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947442038400).

673920537552 is an abundant number, since it is smaller than the sum of its proper divisors (1220963539248).

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

673920537552 is a wasteful number, since it uses less digits than its factorization.

673920537552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15985 (or 15976 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 673920537552 in words is "six hundred seventy-three billion, nine hundred twenty million, five hundred thirty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 263 526 789 1052 1229 1578 2104 2367 2458 3156 3687 4208 4734 4916 6312 7374 9468 9832 11061 12624 14479 14748 18936 19664 22122 28958 29496 37872 43437 44244 57916 58992 86874 88488 115832 130311 173748 176976 231664 260622 323227 347496 521244 646454 694992 969681 1042488 1292908 1939362 2084976 2585816 2909043 3807977 3878724 5171632 5818086 7615954 7757448 11423931 11636172 15231908 15514896 17794691 22847862 23272344 30463816 34271793 35589382 45695724 46544688 53384073 60927632 68543586 71178764 91391448 106768146 137087172 142357528 160152219 182782896 213536292 274174344 284715056 320304438 427072584 548348688 640608876 854145168 1281217752 2562435504 4680003733 9360007466 14040011199 18720014932 28080022398 37440029864 42120033597 56160044796 74880059728 84240067194 112320089592 168480134388 224640179184 336960268776 673920537552