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742056330420 = 2232512173387457
BaseRepresentation
bin10101100110001100000…
…00010000010010110100
32121221101011220100021100
422303012000100102310
544124212410033140
61324521310250100
7104416563510516
oct12630600202264
92557334810240
10742056330420
112667824a9169
12bb9951b6930
1354c8b55a462
1427cb6a31bb6
151448137c530
hexacc60104b4

742056330420 has 72 divisors (see below), whose sum is σ = 2252754418824. Its totient is φ = 197719031808.

The previous prime is 742056330419. The next prime is 742056330439. The reversal of 742056330420 is 24033650247.

742056330420 is a `hidden beast` number, since 7 + 4 + 20 + 563 + 30 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111585393936 + 630470936484 = 334044^2 + 794022^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1474669 + ... + 1912788.

It is an arithmetic number, because the mean of its divisors is an integer number (31288255817).

Almost surely, 2742056330420 is an apocalyptic number.

It is an amenable number.

742056330420 is an abundant number, since it is smaller than the sum of its proper divisors (1510698088404).

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

742056330420 is a wasteful number, since it uses less digits than its factorization.

742056330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388689 (or 3388684 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 742056330420 its reverse (24033650247), we get a palindrome (766089980667).

The spelling of 742056330420 in words is "seven hundred forty-two billion, fifty-six million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1217 2434 3651 4868 6085 7302 10953 12170 14604 18255 21906 24340 36510 43812 54765 73020 109530 219060 3387457 6774914 10162371 13549828 16937285 20324742 30487113 33874570 40649484 50811855 60974226 67749140 101623710 121948452 152435565 203247420 304871130 609742260 4122535169 8245070338 12367605507 16490140676 20612675845 24735211014 37102816521 41225351690 49470422028 61838027535 74205633042 82450703380 123676055070 148411266084 185514082605 247352110140 371028165210 742056330420