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1090821790944 = 25339829128449
BaseRepresentation
bin11111101111110100000…
…10111001110011100000
310212021121020122102212000
433313322002321303200
5120333000334302234
62153041104404000
7141544403144364
oct17677202716340
93767536572760
101090821790944
11390684510756
121574aa016600
137bb30430342
143ab205432a4
151d594d21899
hexfdfa0b9ce0

1090821790944 has 96 divisors (see below), whose sum is σ = 3181912020000. Its totient is φ = 363567439872.

The previous prime is 1090821790937. The next prime is 1090821790957. The reversal of 1090821790944 is 4490971280901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10908217909442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8428032 + ... + 8556480.

It is an arithmetic number, because the mean of its divisors is an integer number (33144916875).

Almost surely, 21090821790944 is an apocalyptic number.

It is an amenable number.

1090821790944 is an abundant number, since it is smaller than the sum of its proper divisors (2091090229056).

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

1090821790944 is a wasteful number, since it uses less digits than its factorization.

1090821790944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138297 (or 138283 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1090821790944 in words is "one trillion, ninety billion, eight hundred twenty-one million, seven hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 9829 19658 29487 39316 58974 78632 88461 117948 128449 157264 176922 235896 256898 265383 314528 353844 385347 471792 513796 530766 707688 770694 943584 1027592 1061532 1156041 1415376 1541388 2055184 2123064 2312082 2830752 3082776 3468123 4110368 4246128 4624164 6165552 6936246 8492256 9248328 12331104 13872492 18496656 27744984 36993312 55489968 110979936 1262525221 2525050442 3787575663 5050100884 7575151326 10100201768 11362726989 15150302652 20200403536 22725453978 30300605304 34088180967 40400807072 45450907956 60601210608 68176361934 90901815912 121202421216 136352723868 181803631824 272705447736 363607263648 545410895472 1090821790944