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92390068480 = 285241299501
BaseRepresentation
bin101011000001011100…
…0001001000100000000
322211110211012202201011
41112002320021010000
53003203324142410
6110235435450304
76450340424143
oct1260270110400
9284424182634
1092390068480
113620086a9a6
1215aa52b6994
138935041598
1446864d405a
15260b0e018a
hex1582e09100

92390068480 has 72 divisors (see below), whose sum is σ = 222222097944. Its totient is φ = 36802560000.

The previous prime is 92390068457. The next prime is 92390068483. The reversal of 92390068480 is 8486009329.

It can be written as a sum of positive squares in 4 ways, for example, as 5407543296 + 86982525184 = 73536^2 + 294928^2 .

It is not an unprimeable number, because it can be changed into a prime (92390068483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158730 + ... + 458230.

It is an arithmetic number, because the mean of its divisors is an integer number (3086418027).

Almost surely, 292390068480 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 92390068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111111048972).

92390068480 is an abundant number, since it is smaller than the sum of its proper divisors (129832029464).

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

92390068480 is a wasteful number, since it uses less digits than its factorization.

92390068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299763 (or 299749 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 92390068480 in words is "ninety-two billion, three hundred ninety million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 256 320 482 640 964 1205 1280 1928 2410 3856 4820 7712 9640 15424 19280 30848 38560 61696 77120 154240 299501 308480 599002 1198004 1497505 2396008 2995010 4792016 5990020 9584032 11980040 19168064 23960080 38336128 47920160 72179741 76672256 95840320 144359482 191680640 288718964 360898705 383361280 577437928 721797410 1154875856 1443594820 2309751712 2887189640 4619503424 5774379280 9239006848 11548758560 18478013696 23097517120 46195034240 92390068480