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123653421552 = 24329674992657
BaseRepresentation
bin111001100101001010…
…0010111100111110000
3102211011121201122200210
41303022110113213300
54011220233442202
6132450001544120
711635150512123
oct1631224274760
9384147648623
10123653421552
1148494150881
121bb6b345040
13b87808007b
145db06403ba
15333aabac6c
hex1cca5179f0

123653421552 has 160 divisors (see below), whose sum is σ = 336183840000. Its totient is φ = 39109238784.

The previous prime is 123653421473. The next prime is 123653421553. The reversal of 123653421552 is 255124356321.

It is a self number, because there is not a number n which added to its sum of digits gives 123653421552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123653421553) 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 31 ways as a sum of consecutive naturals, for example, 46537408 + ... + 46540064.

It is an arithmetic number, because the mean of its divisors is an integer number (2101149000).

Almost surely, 2123653421552 is an apocalyptic number.

123653421552 is a gapful number since it is divisible by the number (12) 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 123653421552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168091920000).

123653421552 is an abundant number, since it is smaller than the sum of its proper divisors (212530418448).

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

123653421552 is a wasteful number, since it uses less digits than its factorization.

123653421552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3257 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

Adding to 123653421552 its reverse (255124356321), we get a palindrome (378777777873).

The spelling of 123653421552 in words is "one hundred twenty-three billion, six hundred fifty-three million, four hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 67 87 116 134 174 201 232 268 348 402 464 499 536 696 804 998 1072 1392 1497 1608 1943 1996 2657 2994 3216 3886 3992 5314 5829 5988 7772 7971 7984 10628 11658 11976 14471 15544 15942 21256 23316 23952 28942 31088 31884 33433 42512 43413 46632 57884 63768 66866 77053 86826 93264 100299 115768 127536 133732 154106 173652 178019 200598 231159 231536 267464 308212 347304 356038 401196 462318 534057 534928 616424 694608 712076 802392 924636 969557 1068114 1232848 1325843 1424152 1604784 1849272 1939114 2136228 2651686 2848304 2908671 3698544 3878228 3977529 4272456 5162551 5303372 5817342 7756456 7955058 8544912 10325102 10606744 11634684 15487653 15512912 15910116 20650204 21213488 23269368 30975306 31820232 38449447 41300408 46538736 61950612 63640464 76898894 82600816 88831481 115348341 123901224 153797788 177662962 230696682 247802448 266494443 307595576 355325924 461393364 532988886 615191152 710651848 922786728 1065977772 1421303696 1845573456 2131955544 2576112949 4263911088 5152225898 7728338847 10304451796 15456677694 20608903592 30913355388 41217807184 61826710776 123653421552