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10397089615542 = 2372101428981637
BaseRepresentation
bin1001011101001100001011…
…0101010100111010110110
31100210221201001101202220020
42113103002311110322312
52330321214420144132
634040205041350010
72122110400364400
oct227230265247266
940727631352806
1010397089615542
113349421044503
1211bb038338306
135a559782b286
1427d316975b70
151306bb09a52c
hex974c2d54eb6

10397089615542 has 96 divisors (see below), whose sum is σ = 24434638731360. Its totient is φ = 2940463411200.

The previous prime is 10397089615531. The next prime is 10397089615543. The reversal of 10397089615542 is 24551698079301.

It is a happy number.

It is a super-2 number, since 2×103970896155422 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10397089615543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127316748 + ... + 127398384.

It is an arithmetic number, because the mean of its divisors is an integer number (254527486785).

It is a 1-persistent number, because it is pandigital, but 2⋅10397089615542 = 20794179231084 is not.

Almost surely, 210397089615542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10397089615542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217319365680).

10397089615542 is an abundant number, since it is smaller than the sum of its proper divisors (14037549115818).

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

10397089615542 is a wasteful number, since it uses less digits than its factorization.

10397089615542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86046 (or 86039 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 10397089615542 in words is "ten trillion, three hundred ninety-seven billion, eighty-nine million, six hundred fifteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 606 707 1414 2121 4242 4289 4949 8578 9898 12867 14847 25734 29694 30023 60046 81637 90069 163274 180138 210161 244911 420322 433189 489822 571459 630483 866378 1142918 1260966 1299567 1714377 2599134 3032323 3428754 4000213 6064646 8000426 8245337 9096969 12000639 16490674 18193938 21226261 24001278 24736011 42452522 49472022 57717359 63678783 115434718 127357566 173152077 346304154 350141093 404021513 700282186 808043026 1050423279 1212064539 2100846558 2424129078 2450987651 4901975302 7352962953 14705925906 17156913557 34313827114 35364250393 51470740671 70728500786 102941481342 106092751179 212185502358 247549752751 495099505502 742649258253 1485298516506 1732848269257 3465696538514 5198544807771 10397089615542