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73740400434 = 2351163313043
BaseRepresentation
bin100010010101101000…
…1010011011100110010
321001100002120110200000
41010223101103130302
52202010020303214
653513104410430
75220233030121
oct1045321233462
9231302513600
1073740400434
11293005962a8
121235b616a16
136c5234514c
1437d76b1ab8
151db8ba7809
hex112b453732

73740400434 has 48 divisors (see below), whose sum is σ = 165715254432. Its totient is φ = 24576136128.

The previous prime is 73740400417. The next prime is 73740400451. The reversal of 73740400434 is 43400404737.

It is an interprime number because it is at equal distance from previous prime (73740400417) and next prime (73740400451).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5647117 + ... + 5660159.

It is an arithmetic number, because the mean of its divisors is an integer number (3452401134).

Almost surely, 273740400434 is an apocalyptic number.

73740400434 is an abundant number, since it is smaller than the sum of its proper divisors (91974853998).

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

73740400434 is a wasteful number, since it uses less digits than its factorization.

73740400434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24693 (or 24681 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 73740400434 in words is "seventy-three billion, seven hundred forty million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 11633 13043 23266 26086 34899 39129 69798 78258 104697 117387 209394 234774 314091 352161 628182 704322 942273 1056483 1884546 2112966 2826819 3169449 5653638 6338898 151729219 303458438 455187657 910375314 1365562971 2731125942 4096688913 8193377826 12290066739 24580133478 36870200217 73740400434