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13202169344 = 297131791583
BaseRepresentation
bin11000100101110100…
…10001111000000000
31021002002012200122222
430102322101320000
5204014223404334
610022012150212
7645106405430
oct142272217000
937062180588
1013202169344
11566530a261
122685468368
131325238530
148d35542c0
15524088d2e
hex312e91e00

13202169344 has 160 divisors (see below), whose sum is σ = 32667909120. Its totient is φ = 5190377472.

The previous prime is 13202169313. The next prime is 13202169359. The reversal of 13202169344 is 44396120231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8339177 + ... + 8340759.

It is an arithmetic number, because the mean of its divisors is an integer number (204174432).

Almost surely, 213202169344 is an apocalyptic number.

13202169344 is a gapful number since it is divisible by the number (14) 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 13202169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333954560).

13202169344 is an abundant number, since it is smaller than the sum of its proper divisors (19465739776).

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

13202169344 is a wasteful number, since it uses less digits than its factorization.

13202169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

Adding to 13202169344 its reverse (44396120231), we get a palindrome (57598289575).

The spelling of 13202169344 in words is "thirteen billion, two hundred two million, one hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 179 182 208 224 256 358 364 416 448 512 716 728 832 896 1253 1432 1456 1583 1664 1792 2327 2506 2864 2912 3166 3328 3584 4654 5012 5728 5824 6332 6656 9308 10024 11081 11456 11648 12664 16289 18616 20048 20579 22162 22912 23296 25328 32578 37232 40096 41158 44324 45824 46592 50656 65156 74464 80192 82316 88648 91648 101312 130312 144053 148928 160384 164632 177296 202624 260624 283357 288106 297856 320768 329264 354592 405248 521248 566714 576212 595712 641536 658528 709184 810496 1042496 1133428 1152424 1191424 1317056 1418368 1983499 2084992 2266856 2304848 2634112 2836736 3683641 3966998 4169984 4533712 4609696 5268224 5673472 7367282 7933996 8339968 9067424 9219392 10536448 14734564 15867992 18134848 18438784 25785487 29469128 31735984 36269696 36877568 51570974 58938256 63471968 72539392 73755136 103141948 117876512 126943936 145078784 206283896 235753024 253887872 412567792 471506048 507775744 825135584 943012096 1015551488 1650271168 1886024192 3300542336 6601084672 13202169344