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9977699505792 = 273293072918521
BaseRepresentation
bin1001000100110001110100…
…1111000001011010000000
31022022212012000220202210110
42101030131033001122000
52301433312033141132
633115405240031320
72046602460310224
oct221143517013200
938285160822713
109977699505792
1131a7578286717
1211518b3462540
13574b7bc94815
14266ccd4ca784
151248222591cc
hex9131d3c1680

9977699505792 has 128 divisors (see below), whose sum is σ = 27506486145600. Its totient is φ = 3200752558080.

The previous prime is 9977699505743. The next prime is 9977699505841. The reversal of 9977699505792 is 2975059967799.

It is an interprime number because it is at equal distance from previous prime (9977699505743) and next prime (9977699505841).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1959492 + ... + 4878012.

Almost surely, 29977699505792 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 9977699505792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753243072800).

9977699505792 is an abundant number, since it is smaller than the sum of its proper divisors (17528786639808).

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

9977699505792 is a wasteful number, since it uses less digits than its factorization.

9977699505792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918874 (or 2918862 counting only the distinct ones).

The product of its (nonzero) digits is 6076142100, while the sum is 84.

The spelling of 9977699505792 in words is "nine trillion, nine hundred seventy-seven billion, six hundred ninety-nine million, five hundred five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 307 348 384 464 614 696 921 928 1228 1392 1842 1856 2456 2784 3684 3712 4912 5568 7368 8903 9824 11136 14736 17806 19648 26709 29472 35612 39296 53418 58944 71224 106836 117888 142448 213672 284896 427344 569792 854688 1139584 1709376 2918521 3418752 5837042 8755563 11674084 17511126 23348168 35022252 46696336 70044504 84637109 93392672 140089008 169274218 186785344 253911327 280178016 338548436 373570688 507822654 560356032 677096872 895985947 1015645308 1120712064 1354193744 1791971894 2031290616 2687957841 2708387488 3583943788 4062581232 5375915682 5416774976 7167887576 8125162464 10751831364 10833549952 14335775152 16250324928 21503662728 25983592463 28671550304 32500649856 43007325456 51967184926 57343100608 77950777389 86014650912 103934369852 114686201216 155901554778 172029301824 207868739704 311803109556 344058603648 415737479408 623606219112 831474958816 1247212438224 1662949917632 2494424876448 3325899835264 4988849752896 9977699505792