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1097467759808 = 26726311638009
BaseRepresentation
bin11111111100001100010…
…11010000110011000000
310212220202102012122012222
433332012023100303000
5120440103221303213
62200100354510212
7142201163020040
oct17760613206300
93786672178188
101097467759808
11393484a37502
12158843895368
137c64c29b2b4
143b191063720
151d833507808
hexff862d0cc0

1097467759808 has 112 divisors (see below), whose sum is σ = 2500824015360. Its totient is φ = 468093609984.

The previous prime is 1097467759781. The next prime is 1097467759813. The reversal of 1097467759808 is 8089577647901.

It is a tau number, because it is divible by the number of its divisors (112).

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, 137025308 + ... + 137033316.

Almost surely, 21097467759808 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 1097467759808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250412007680).

1097467759808 is an abundant number, since it is smaller than the sum of its proper divisors (1403356255552).

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

1097467759808 is a wasteful number, since it uses less digits than its factorization.

1097467759808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 71.

The spelling of 1097467759808 in words is "one trillion, ninety-seven billion, four hundred sixty-seven million, seven hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 263 448 526 1052 1163 1841 2104 2326 3682 4208 4652 7364 8009 8141 8416 9304 14728 16018 16282 16832 18608 29456 32036 32564 37216 56063 58912 64072 65128 74432 112126 117824 128144 130256 224252 256288 260512 305869 448504 512576 521024 611738 897008 1223476 1794016 2106367 2141083 2446952 3588032 4212734 4282166 4893904 8425468 8564332 9314467 9787808 14744569 16850936 17128664 18628934 19575616 29489138 33701872 34257328 37257868 58978276 65201269 67403744 68514656 74515736 117956552 130402538 134807488 137029312 149031472 235913104 260805076 298062944 471826208 521610152 596125888 943652416 1043220304 2086440608 2449704821 4172881216 4899409642 9798819284 17147933747 19597638568 34295867494 39195277136 68591734988 78390554272 137183469976 156781108544 274366939952 548733879904 1097467759808