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123450232185856 = 210103233712
BaseRepresentation
bin11100000100011011111111…
…001111001010010000000000
3121012002201121221100010010101
4130010123333033022100000
5112140102033414421411
61114320130450412144
735000661556653562
oct3404337717122000
9535081557303111
10123450232185856
1136375a49800a74
1211a19594b91054
1353b63cb480ab4
14226b047619332
15e413556ed8c1
hex7046ff3ca400

123450232185856 has 99 divisors (see below), whose sum is σ = 249273036620643. Its totient is φ = 61107710269440.

The previous prime is 123450232185769. The next prime is 123450232186009. The reversal of 123450232185856 is 658581232054321.

The square root of 123450232185856 is 11110816.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123450232185797 and 123450232185806.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36621247851 + ... + 36621251221.

Almost surely, 2123450232185856 is an apocalyptic number.

123450232185856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123450232185856 is the 11110816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123450232185856

123450232185856 is an abundant number, since it is smaller than the sum of its proper divisors (125822804434787).

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

123450232185856 is an frugal number, since it uses more digits than its factorization.

123450232185856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 55.

The spelling of 123450232185856 in words is "one hundred twenty-three trillion, four hundred fifty billion, two hundred thirty-two million, one hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1648 3296 3371 6592 6742 10609 13184 13484 21218 26368 26968 42436 52736 53936 84872 105472 107872 169744 215744 339488 347213 431488 678976 694426 862976 1357952 1388852 1725952 2715904 2777704 3451904 5431808 5555408 10863616 11110816 11363641 22221632 22727282 35762939 44443264 45454564 71525878 88886528 90909128 143051756 177773056 181818256 286103512 355546112 363636512 572207024 727273024 1144414048 1170455023 1454546048 2288828096 2340910046 2909092096 4577656192 4681820092 5818184192 9155312384 9363640184 11636368384 18310624768 18727280368 36621249536 37454560736 74909121472 120556867369 149818242944 241113734738 299636485888 482227469476 599272971776 964454938952 1198545943552 1928909877904 3857819755808 7715639511616 15431279023232 30862558046464 61725116092928 123450232185856