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42476748576 = 2533147303683
BaseRepresentation
bin100111100011110011…
…111011111100100000
311001122021111101211020
4213203303323330200
51143443021423301
631302532045440
73032420256063
oct474363737440
9131567441736
1042476748576
1117018020999
128295463880
13400c230672
1420ad4c88da
15118916d436
hex9e3cfbf20

42476748576 has 96 divisors (see below), whose sum is σ = 117547573248. Its totient is φ = 13410597120.

The previous prime is 42476748557. The next prime is 42476748577. The reversal of 42476748576 is 67584767424.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42476748577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11970 + ... + 291713.

It is an arithmetic number, because the mean of its divisors is an integer number (1224453888).

Almost surely, 242476748576 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 42476748576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58773786624).

42476748576 is an abundant number, since it is smaller than the sum of its proper divisors (75070824672).

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

42476748576 is a wasteful number, since it uses less digits than its factorization.

42476748576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303774 (or 303766 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 60.

The spelling of 42476748576 in words is "forty-two billion, four hundred seventy-six million, seven hundred forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 372 376 496 564 744 752 992 1128 1457 1488 1504 2256 2914 2976 4371 4512 5828 8742 11656 17484 23312 34968 46624 69936 139872 303683 607366 911049 1214732 1822098 2429464 3644196 4858928 7288392 9414173 9717856 14273101 14576784 18828346 28242519 28546202 29153568 37656692 42819303 56485038 57092404 75313384 85638606 112970076 114184808 150626768 171277212 225940152 228369616 301253536 342554424 442466131 451880304 456739232 685108848 884932262 903760608 1327398393 1370217696 1769864524 2654796786 3539729048 5309593572 7079458096 10619187144 14158916192 21238374288 42476748576