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1097491067520 = 27355659101009
BaseRepresentation
bin11111111100001111001…
…00001011001010000000
310212220211001001210101120
433332013210023022000
5120440130203130040
62200102550232240
7142201565103411
oct17760744131200
93786731053346
101097491067520
11393497106981
1215884b655680
137c65406c143
143b1941ad808
151d8355ad7d0
hexff8790b280

1097491067520 has 128 divisors (see below), whose sum is σ = 3498905592000. Its totient is φ = 292609671168.

The previous prime is 1097491067507. The next prime is 1097491067521. The reversal of 1097491067520 is 257601947901.

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

It is not an unprimeable number, because it can be changed into a prime (1097491067521) by changing a digit.

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, 10814776 + ... + 10915784.

Almost surely, 21097491067520 is an apocalyptic number.

1097491067520 is a gapful number since it is divisible by the number (10) 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 1097491067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749452796000).

1097491067520 is an abundant number, since it is smaller than the sum of its proper divisors (2401414524480).

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

1097491067520 is a wasteful number, since it uses less digits than its factorization.

1097491067520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106690 (or 106678 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 1097491067520 in words is "one trillion, ninety-seven billion, four hundred ninety-one million, sixty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5659 11318 16977 22636 28295 33954 45272 56590 67908 84885 90544 101009 113180 135816 169770 181088 202018 226360 271632 303027 339540 362176 404036 452720 505045 543264 606054 679080 724352 808072 905440 1010090 1086528 1212108 1358160 1515135 1616144 1810880 2020180 2173056 2424216 2716320 3030270 3232288 3621760 4040360 4848432 5432640 6060540 6464576 8080720 9696864 10865280 12121080 12929152 16161440 19393728 24242160 32322880 38787456 48484320 64645760 96968640 193937280 571609931 1143219862 1714829793 2286439724 2858049655 3429659586 4572879448 5716099310 6859319172 8574148965 9145758896 11432198620 13718638344 17148297930 18291517792 22864397240 27437276688 34296595860 36583035584 45728794480 54874553376 68593191720 73166071168 91457588960 109749106752 137186383440 182915177920 219498213504 274372766880 365830355840 548745533760 1097491067520