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1200382449152 = 29371491632609
BaseRepresentation
bin10001011101111100010…
…111101001011000000000
311020202101201100112120212
4101131330113221120000
5124131340401333102
62315240441453252
7152503411316105
oct21357427513000
94222351315525
101200382449152
11423096664877
121747857a1228
13892708c2893
1442155240aac
1521358583c52
hex1177c5e9600

1200382449152 has 160 divisors (see below), whose sum is σ = 2495944044000. Its totient is φ = 576271024128.

The previous prime is 1200382449139. The next prime is 1200382449223. The reversal of 1200382449152 is 2519442830021.

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, 460091624 + ... + 460094232.

It is an arithmetic number, because the mean of its divisors is an integer number (15599650275).

Almost surely, 21200382449152 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 1200382449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247972022000).

1200382449152 is an abundant number, since it is smaller than the sum of its proper divisors (1295561594848).

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

1200382449152 is a wasteful number, since it uses less digits than its factorization.

1200382449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 1200382449152 in words is "one trillion, two hundred billion, three hundred eighty-two million, four hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 149 163 256 296 298 326 512 592 596 652 1184 1192 1304 2368 2384 2608 2609 4736 4768 5216 5218 5513 6031 9472 9536 10432 10436 11026 12062 18944 19072 20864 20872 22052 24124 24287 38144 41728 41744 44104 48248 48574 76288 83456 83488 88208 96496 96533 97148 166976 176416 192992 193066 194296 333952 352832 385984 386132 388592 388741 425267 667904 705664 771968 772264 777184 777482 850534 898619 1335808 1411328 1543936 1544528 1554368 1554964 1701068 1797238 2822656 3087872 3089056 3108736 3109928 3402136 3594476 6178112 6217472 6219856 6804272 7188952 12356224 12434944 12439712 13608544 14377904 14383417 15734879 24712448 24879424 27217088 28755808 28766834 31469758 49424896 49758848 54434176 57511616 57533668 62939516 63364783 99517696 108868352 115023232 115067336 125879032 126729566 199035392 217736704 230046464 230134672 251758064 253459132 460092928 460269344 503516128 506918264 920538688 1007032256 1013836528 1841077376 2014064512 2027673056 2344496971 3682154752 4028129024 4055346112 4688993942 7364309504 8056258048 8110692224 9377987884 16221384448 18755975768 32442768896 37511951536 75023903072 150047806144 300095612288 600191224576 1200382449152