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742438999201 = 232374632
BaseRepresentation
bin10101100110111001101…
…00000001010010100001
32121222100211221221011011
422303130310001102201
544131003340433301
61325023300220521
7104432221240114
oct12633464012241
92558324857134
10742438999201
11266959506959
12bba8139a741
135501c9112a3
1427d117a457b
15144a4c6aa51
hexacdcd014a1

742438999201 has 9 divisors (see below), whose sum is σ = 776143149649. Its totient is φ = 710140086436.

The previous prime is 742438999199. The next prime is 742438999217. The reversal of 742438999201 is 102999834247.

The square root of 742438999201 is 861649.

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

It is not a de Polignac number, because 742438999201 - 21 = 742438999199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742438999301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19799196 + ... + 19836658.

Almost surely, 2742438999201 is an apocalyptic number.

742438999201 is the 861649-th square number.

742438999201 is the 430825-th centered octagonal number.

It is an amenable number.

742438999201 is a deficient number, since it is larger than the sum of its proper divisors (33704150448).

742438999201 is an frugal number, since it uses more digits than its factorization.

742438999201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74972 (or 37486 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 742438999201 in words is "seven hundred forty-two billion, four hundred thirty-eight million, nine hundred ninety-nine thousand, two hundred one".

Divisors: 1 23 529 37463 861649 19817927 1403476369 32279956487 742438999201