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9772020984 = 2331131791709
BaseRepresentation
bin10010001100111010…
…10011010011111000
3221020000210002201010
421012131103103320
5130003114132414
64253400153520
7464105544045
oct110635232370
927200702633
109772020984
114165062000
121a887688a0
13bc96b804b
14689b7a1cc
153c2d78959
hex2467534f8

9772020984 has 128 divisors (see below), whose sum is σ = 27037152000. Its totient is φ = 2942952320.

The previous prime is 9772020977. The next prime is 9772020991. The reversal of 9772020984 is 4890202779.

9772020984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9772020977) and next prime (9772020991).

It is a super-2 number, since 2×97720209842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5717122 + ... + 5718830.

It is an arithmetic number, because the mean of its divisors is an integer number (211227750).

Almost surely, 29772020984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9772020984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518576000).

9772020984 is an abundant number, since it is smaller than the sum of its proper divisors (17265131016).

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

9772020984 is a wasteful number, since it uses less digits than its factorization.

9772020984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 9772020984 is about 98853.5329869398. The cubic root of 9772020984 is about 2137.9364759355.

The spelling of 9772020984 in words is "nine billion, seven hundred seventy-two million, twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 179 242 264 358 363 484 537 716 726 968 1074 1331 1432 1452 1709 1969 2148 2662 2904 3418 3938 3993 4296 5127 5324 5907 6836 7876 7986 10254 10648 11814 13672 15752 15972 18799 20508 21659 23628 31944 37598 41016 43318 47256 56397 64977 75196 86636 112794 129954 150392 173272 206789 225588 238249 259908 305911 413578 451176 476498 519816 611822 620367 714747 827156 917733 952996 1223644 1240734 1429494 1654312 1835466 1905992 2274679 2447288 2481468 2858988 3365021 3670932 4549358 4962936 5717976 6730042 6824037 7341864 9098716 10095063 13460084 13648074 18197432 20190126 26920168 27296148 37015231 40380252 54592296 74030462 80760504 111045693 148060924 222091386 296121848 407167541 444182772 814335082 888365544 1221502623 1628670164 2443005246 3257340328 4886010492 9772020984