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10326196633600 = 2145250212
BaseRepresentation
bin1001011001000100000101…
…0010000100000000000000
31100120011201101202011002101
42112101001102010000000
52323141022314233400
633543442251000144
72114020531106011
oct226210122040000
940504641664071
1010326196633600
113321351883931
1211a9352439054
1359b9aa3a6753
14279b0d50d008
1512d91c39756a
hex96441484000

10326196633600 has 135 divisors (see below), whose sum is σ = 25613287359751. Its totient is φ = 4129656012800.

The previous prime is 10326196633589. The next prime is 10326196633607. The reversal of 10326196633600 is 633669162301.

The square root of 10326196633600 is 3213440.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1095488782336 + 9230707851264 = 1046656^2 + 3038208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10326196633607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2056599090 + ... + 2056604110.

Almost surely, 210326196633600 is an apocalyptic number.

10326196633600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10326196633600 is the 3213440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10326196633600

10326196633600 is an abundant number, since it is smaller than the sum of its proper divisors (15287090726151).

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

10326196633600 is an frugal number, since it uses more digits than its factorization.

10326196633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10080 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 10326196633600 in words is "ten trillion, three hundred twenty-six billion, one hundred ninety-six million, six hundred thirty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5021 5120 6400 8192 10042 10240 12800 16384 20084 20480 25105 25600 40168 40960 50210 51200 80336 81920 100420 102400 125525 160672 200840 204800 251050 321344 401680 409600 502100 642688 803360 1004200 1285376 1606720 2008400 2570752 3213440 4016800 5141504 6426880 8033600 10283008 12853760 16067200 20566016 25210441 25707520 32134400 41132032 50420882 51415040 64268800 82264064 100841764 102830080 126052205 128537600 201683528 205660160 252104410 257075200 403367056 411320320 504208820 514150400 630261025 806734112 1008417640 1028300800 1260522050 1613468224 2016835280 2056601600 2521044100 3226936448 4033670560 5042088200 6453872896 8067341120 10084176400 12907745792 16134682240 20168352800 25815491584 32269364480 40336705600 51630983168 64538728960 80673411200 103261966336 129077457920 161346822400 206523932672 258154915840 322693644800 413047865344 516309831680 645387289600 1032619663360 1290774579200 2065239326720 2581549158400 5163098316800 10326196633600