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9057729427992 = 233376198205931
BaseRepresentation
bin1000001111001110101010…
…1111101011101000011000
31012001220120201220121212000
42003303222233223220120
52141400212213143432
631133021412321000
71623253656545430
oct203635257535030
935056521817760
109057729427992
1129823a81448a3
121023547313160
135091a90a953b
14234579bab2c0
1510a92b92257c
hex83ceabeba18

9057729427992 has 128 divisors (see below), whose sum is σ = 29226085363200. Its totient is φ = 2545497705600.

The previous prime is 9057729427963. The next prime is 9057729427997. The reversal of 9057729427992 is 2997249277509.

9057729427992 is a `hidden beast` number, since 9 + 0 + 577 + 2 + 9 + 42 + 7 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9057729427992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9057729427997) 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 31 ways as a sum of consecutive naturals, for example, 49010734 + ... + 49195197.

It is an arithmetic number, because the mean of its divisors is an integer number (228328791900).

Almost surely, 29057729427992 is an apocalyptic number.

It is an amenable number.

9057729427992 is an abundant number, since it is smaller than the sum of its proper divisors (20168355935208).

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

9057729427992 is a wasteful number, since it uses less digits than its factorization.

9057729427992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98206014 (or 98206004 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 9057729427992 in words is "nine trillion, fifty-seven billion, seven hundred twenty-nine million, four hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1647 1708 2196 2562 3294 3416 3843 4392 5124 6588 7686 10248 11529 13176 15372 23058 30744 46116 92232 98205931 196411862 294617793 392823724 589235586 687441517 785647448 883853379 1178471172 1374883034 1767706758 2062324551 2356942344 2651560137 2749766068 3535413516 4124649102 5303120274 5499532136 5990561791 6186973653 7070827032 8249298204 10606240548 11981123582 12373947306 16498596408 17971685373 18560920959 21212481096 23962247164 24747894612 35943370746 37121841918 41933932537 47924494328 49495789224 53915056119 71886741492 74243683836 83867865074 107830112238 125801797611 143773482984 148487367672 161745168357 167735730148 215660224476 251603595222 323490336714 335471460296 377405392833 431320448952 503207190444 646980673428 754810785666 1006414380888 1132216178499 1293961346856 1509621571332 2264432356998 3019243142664 4528864713996 9057729427992