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1093665139584 = 273191162112899
BaseRepresentation
bin11111110101000111000…
…01011010101110000000
310212112221101220111220220
433322203201122232000
5120404311233431314
62154231155303040
7142005020205513
oct17724341325600
93775841814826
101093665139584
11391903506666
12157b622aaa80
137c194527364
143ad1000cd7a
151d6ae7703a9
hexfea385ab80

1093665139584 has 128 divisors (see below), whose sum is σ = 3058445520000. Its totient is φ = 345311447040.

The previous prime is 1093665139573. The next prime is 1093665139601. The reversal of 1093665139584 is 4859315663901.

1093665139584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10936651395842 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84780367 + ... + 84793265.

It is an arithmetic number, because the mean of its divisors is an integer number (23894105625).

Almost surely, 21093665139584 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 1093665139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529222760000).

1093665139584 is an abundant number, since it is smaller than the sum of its proper divisors (1964780380416).

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

1093665139584 is a wasteful number, since it uses less digits than its factorization.

1093665139584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24556 (or 24544 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 1093665139584 in words is "one trillion, ninety-three billion, six hundred sixty-five million, one hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 11621 12899 23242 25798 34863 38697 46484 51596 69726 77394 92968 103192 139452 154788 185936 206384 220799 245081 278904 309576 371872 412768 441598 490162 557808 619152 662397 735243 743744 825536 883196 980324 1115616 1238304 1324794 1470486 1487488 1651072 1766392 1960648 2231232 2476608 2649588 2940972 3532784 3921296 4462464 4953216 5299176 5881944 7065568 7842592 10598352 11763888 14131136 15685184 21196704 23527776 28262272 31370368 42393408 47055552 84786816 94111104 149899279 299798558 449697837 599597116 899395674 1199194232 1798791348 2398388464 2848086301 3597582696 4796776928 5696172602 7195165392 8544258903 9593553856 11392345204 14390330784 17088517806 19187107712 22784690408 28780661568 34177035612 45569380816 57561323136 68354071224 91138761632 136708142448 182277523264 273416284896 364555046528 546832569792 1093665139584