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109206455296 = 2102324492
BaseRepresentation
bin110010110110100110…
…1100100010000000000
3101102212210012201200111
41211231031210100000
53242123323032141
6122100241201104
710614144361021
oct1455515442000
9342783181614
10109206455296
1142350219244
12191b9030194
13a3b4c97323
1453dda58c48
152c925e8381
hex196d364400

109206455296 has 99 divisors (see below), whose sum is σ = 228719913541. Its totient is φ = 52112850944.

The previous prime is 109206455233. The next prime is 109206455317. The reversal of 109206455296 is 692554602901.

The square root of 109206455296 is 330464.

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

It can be written as a sum of positive squares in only one way, i.e., 66737488896 + 42468966400 = 258336^2 + 206080^2 .

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, 243221280 + ... + 243221728.

Almost surely, 2109206455296 is an apocalyptic number.

109206455296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109206455296 is the 330464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109206455296

109206455296 is an abundant number, since it is smaller than the sum of its proper divisors (119513458245).

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

109206455296 is an frugal number, since it uses more digits than its factorization.

109206455296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 109206455296 by its sum of digits (49), we get a square (5351116309504 = 23132482).

The spelling of 109206455296 in words is "one hundred nine billion, two hundred six million, four hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 449 512 529 736 898 1024 1058 1472 1796 2116 2944 3592 4232 5888 7184 8464 10327 11776 14368 16928 20654 23552 28736 33856 41308 57472 67712 82616 114944 135424 165232 201601 229888 237521 270848 330464 403202 459776 475042 541696 660928 806404 950084 1321856 1612808 1900168 2643712 3225616 3800336 4636823 5287424 6451232 7600672 9273646 10574848 12902464 15201344 18547292 25804928 30402688 37094584 51609856 60805376 74189168 103219712 106646929 121610752 148378336 206439424 213293858 243221504 296756672 426587716 593513344 853175432 1187026688 1706350864 2374053376 3412701728 4748106752 6825403456 13650806912 27301613824 54603227648 109206455296