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11978850896 = 2417294779409
BaseRepresentation
bin10110010011111111…
…01100001001010000
31010220211022200020022
423021333230021100
5144013041212041
65300352203012
7602563360355
oct131177541120
933824280208
1011978850896
115097826a81
1223a3839468
13118b96b36c
14818cb462c
154a199424b
hex2c9fec250

11978850896 has 160 divisors (see below), whose sum is σ = 26355456000. Its totient is φ = 5246631936.

The previous prime is 11978850883. The next prime is 11978850907. The reversal of 11978850896 is 69805887911.

11978850896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29287940 + ... + 29288348.

It is an arithmetic number, because the mean of its divisors is an integer number (164721600).

Almost surely, 211978850896 is an apocalyptic number.

11978850896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11978850896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177728000).

11978850896 is an abundant number, since it is smaller than the sum of its proper divisors (14376605104).

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

11978850896 is a wasteful number, since it uses less digits than its factorization.

11978850896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 62.

The spelling of 11978850896 in words is "eleven billion, nine hundred seventy-eight million, eight hundred fifty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 34 47 58 68 79 94 116 136 158 188 232 272 316 376 409 464 493 632 752 799 818 986 1264 1343 1363 1598 1636 1972 2291 2686 2726 3196 3272 3713 3944 4582 5372 5452 6392 6544 6953 7426 7888 9164 10744 10904 11861 12784 13906 14852 18328 19223 21488 21808 23171 23722 27812 29704 32311 36656 38446 38947 46342 47444 55624 59408 63121 64622 76892 77894 92684 94888 107677 111248 126242 129244 153784 155788 185368 189776 201637 215354 252484 258488 307568 311576 326791 370736 403274 430708 504968 516976 549287 557467 623152 653582 806548 861416 937019 1009936 1098574 1114934 1307164 1518617 1613096 1722832 1830509 1874038 2197148 2229868 2614328 3037234 3226192 3661018 3748076 4394296 4459736 5228656 6074468 7322036 7496152 8788592 8919472 9476939 12148936 14644072 14992304 15929323 18953878 24297872 25816489 29288144 31858646 37907756 44039893 51632978 63717292 75815512 88079786 103265956 127434584 151631024 176159572 206531912 254869168 352319144 413063824 704638288 748678181 1497356362 2994712724 5989425448 11978850896