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10593087984 = 24342929719
BaseRepresentation
bin10011101110110010…
…11011000111110000
31000100020202121220000
421313121123013300
5133143312303414
64511050350000
7523335522303
oct116731330760
930306677800
1010593087984
114546581876
12207772b300
13cca835bcb
14726c2ab3a
1541eeb2b09
hex27765b1f0

10593087984 has 150 divisors (see below), whose sum is σ = 31756416120. Its totient is φ = 3408918912.

The previous prime is 10593087983. The next prime is 10593088007. The reversal of 10593087984 is 48978039501.

It is a super-2 number, since 2×105930879842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10593087984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10593087983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1085077 + ... + 1094795.

Almost surely, 210593087984 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 10593087984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878208060).

10593087984 is an abundant number, since it is smaller than the sum of its proper divisors (21163328136).

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

10593087984 is an equidigital number, since it uses as much as digits as its factorization.

10593087984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9797 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10593087984 in words is "ten billion, five hundred ninety-three million, eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 841 1044 1296 1392 1566 1682 2088 2349 2523 3132 3364 4176 4698 5046 6264 6728 7569 9396 9719 10092 12528 13456 15138 18792 19438 20184 22707 29157 30276 37584 38876 40368 45414 58314 60552 68121 77752 87471 90828 116628 121104 136242 155504 174942 181656 233256 262413 272484 281851 349884 363312 466512 524826 544968 563702 699768 787239 845553 1049652 1089936 1127404 1399536 1574478 1691106 2099304 2254808 2536659 3148956 3382212 4198608 4509616 5073318 6297912 6764424 7609977 8173679 10146636 12595824 13528848 15219954 16347358 20293272 22829931 24521037 30439908 32694716 40586544 45659862 49042074 60879816 65389432 73563111 91319724 98084148 121759632 130778864 147126222 182639448 196168296 220689333 294252444 365278896 392336592 441378666 588504888 662067999 882757332 1177009776 1324135998 1765514664 2648271996 3531029328 5296543992 10593087984