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742097980743 = 37595476731627
BaseRepresentation
bin10101100110010000111…
…11001000110101000111
32121221111002021101202220
422303020133020311013
544124304040340433
61324525355103423
7104420610521160
oct12631037106507
92557432241686
10742097980743
112667a3a66719
12bb9a7141b73
1354c97081212
1427cbc394767
1514484d582b3
hexacc87c8d47

742097980743 has 64 divisors (see below), whose sum is σ = 1154505707520. Its totient is φ = 415232842752.

The previous prime is 742097980711. The next prime is 742097980787. The reversal of 742097980743 is 347089790247.

742097980743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 742097980743 - 25 = 742097980711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742097980343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456113496 + ... + 456115122.

It is an arithmetic number, because the mean of its divisors is an integer number (18039151680).

Almost surely, 2742097980743 is an apocalyptic number.

742097980743 is a deficient number, since it is larger than the sum of its proper divisors (412407726777).

742097980743 is a wasteful number, since it uses less digits than its factorization.

742097980743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916.

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 742097980743 in words is "seven hundred forty-two billion, ninety-seven million, nine hundred eighty thousand, seven hundred forty-three".

Divisors: 1 3 7 21 59 177 413 547 673 1239 1627 1641 2019 3829 4711 4881 11389 11487 14133 32273 34167 39707 95993 96819 119121 225911 277949 287979 368131 671951 677733 833847 889969 1094971 1104393 2015853 2576917 2669907 3284913 6229783 7664797 7730751 18689349 21719729 22994391 52508171 64603289 65159187 152038103 157524513 193809867 367557197 452223023 456114309 598949137 1102671591 1356669069 1796847411 4192643959 12577931877 35337999083 106013997249 247365993581 742097980743