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73807848976 = 2423229532
BaseRepresentation
bin100010010111101001…
…0100110011000010000
321001111210111012200011
41010233102212120100
52202124302131401
653523514204304
75222012236111
oct1045722463020
9231453435604
1073807848976
11293356743a4
121237a123694
136c632cc524
14380262c208
151dbea7c451
hex112f4a6610

73807848976 has 45 divisors (see below), whose sum is σ = 149541183309. Its totient is φ = 35287452288.

The previous prime is 73807848937. The next prime is 73807849013. The reversal of 73807848976 is 67984870837.

The square root of 73807848976 is 271676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60113232400 + 13694616576 = 245180^2 + 117024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24992716 + ... + 24995668.

Almost surely, 273807848976 is an apocalyptic number.

73807848976 is the 271676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73807848976

73807848976 is an abundant number, since it is smaller than the sum of its proper divisors (75733334333).

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

73807848976 is an frugal number, since it uses more digits than its factorization.

73807848976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 67.

The spelling of 73807848976 in words is "seventy-three billion, eight hundred seven million, eight hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 2953 4232 5906 8464 11812 23624 47248 67919 135838 271676 543352 1086704 1562137 3124274 6248548 8720209 12497096 17440418 24994192 34880836 69761672 139523344 200564807 401129614 802259228 1604518456 3209036912 4612990561 9225981122 18451962244 36903924488 73807848976