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68190812200448 = 297617281910939
BaseRepresentation
bin11111000000100111010010…
…01000110101111000000000
322221102222101221121000202122
433200103221020311320000
532414214240410403243
6401010232054103412
720235423616046240
oct1740235110657000
9287388357530678
1068190812200448
111a800619835773
127793a0504ab68
132c0849b139522
1412ba64ab57b20
157d3bed566668
hex3e04e9235e00

68190812200448 has 160 divisors (see below), whose sum is σ = 156034461369600. Its totient is φ = 29164251561984.

The previous prime is 68190812200417. The next prime is 68190812200529. The reversal of 68190812200448 is 84400221809186.

It is a self number, because there is not a number n which added to its sum of digits gives 68190812200448.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6233728163 + ... + 6233739101.

It is an arithmetic number, because the mean of its divisors is an integer number (975215383560).

Almost surely, 268190812200448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68190812200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78017230684800).

68190812200448 is an abundant number, since it is smaller than the sum of its proper divisors (87843649169152).

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

68190812200448 is a wasteful number, since it uses less digits than its factorization.

68190812200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14400 (or 14384 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The spelling of 68190812200448 in words is "sixty-eight trillion, one hundred ninety billion, eight hundred twelve million, two hundred thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 617 896 1234 1792 2468 2819 3584 4319 4936 5638 8638 9872 10939 11276 17276 19733 19744 21878 22552 34552 39466 39488 43756 45104 69104 76573 78932 78976 87512 90208 138208 153146 157864 157952 175024 180416 276416 306292 315728 315904 350048 360832 552832 612584 631456 700096 721664 1105664 1225168 1262912 1400192 1443328 1739323 2211328 2450336 2525824 2800384 3478646 4900672 5051648 5600768 6749363 6957292 9801344 10103296 12175261 13498726 13914584 19602688 24350522 26997452 27829168 30837041 39205376 47245541 48701044 53994904 55658336 61674082 94491082 97402088 107989808 111316672 123348164 188982164 194804176 215859287 215979616 222633344 246696328 377964328 389608352 431718574 431959232 445266688 493392656 755928656 779216704 863437148 863918464 890533376 986785312 1511857312 1558433408 1726874296 1727836928 1973570624 3023714624 3116866816 3453748592 3455673856 3947141248 6047429248 6233733632 6907497184 7894282496 12094858496 13814994368 15788564992 19026454297 24189716992 27629988736 38052908594 55259977472 76105817188 110519954944 133185180079 152211634376 266370360158 304423268752 532740720316 608846537504 1065481440632 1217693075008 2130962881264 2435386150016 4261925762528 4870772300032 8523851525056 9741544600064 17047703050112 34095406100224 68190812200448