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1136253826688 = 27314110169151
BaseRepresentation
bin10000100010001110000…
…000010111011010000000
311000121212111000222112112
4100202032000113122000
5122104021434423223
62225553210514452
7145043300112161
oct20421600273200
94017774028475
101136253826688
113a8978732632
12164269135a28
13831c09bb526
143cdd0315768
151e853650778
hex1088e017680

1136253826688 has 128 divisors (see below), whose sum is σ = 2417376890880. Its totient is φ = 531072000000.

The previous prime is 1136253826663. The next prime is 1136253826751. The reversal of 1136253826688 is 8866283526311.

It is a tau number, because it is divible by the number of its divisors (128).

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, 16396913 + ... + 16466063.

It is an arithmetic number, because the mean of its divisors is an integer number (18885756960).

Almost surely, 21136253826688 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 1136253826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208688445440).

1136253826688 is an abundant number, since it is smaller than the sum of its proper divisors (1281123064192).

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

1136253826688 is a wasteful number, since it uses less digits than its factorization.

1136253826688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69338 (or 69326 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 59.

The spelling of 1136253826688 in words is "one trillion, one hundred thirty-six billion, two hundred fifty-three million, eight hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 101 124 128 164 202 248 328 404 496 656 808 992 1271 1312 1616 1984 2542 2624 3131 3232 3968 4141 5084 5248 6262 6464 8282 10168 12524 12928 16564 20336 25048 33128 40672 50096 66256 69151 81344 100192 128371 132512 138302 162688 200384 256742 265024 276604 400768 513484 530048 553208 1026968 1106416 2053936 2143681 2212832 2835191 4107872 4287362 4425664 5670382 6984251 8215744 8574724 8851328 11340764 13968502 16431488 17149448 22681528 27937004 34298896 45363056 55874008 68597792 87890921 90726112 111748016 137195584 175781842 181452224 216511781 223496032 274391168 286354291 351563684 362904448 433023562 446992064 572708582 703127368 866047124 893984128 1145417164 1406254736 1732094248 2290834328 2812509472 3464188496 4581668656 5625018944 6928376992 8876983021 9163337312 11250037888 13856753984 17753966042 18326674624 27713507968 35507932084 36653349248 71015864168 142031728336 284063456672 568126913344 1136253826688