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994555506144 = 25367754920483
BaseRepresentation
bin11100111100100000010…
…00001010110111100000
310112002010021122110222110
432132100020022313200
5112243322202144034
62040520440035320
7131566004214054
oct16362010126740
93462107573873
10994555506144
113538747230a2
12140902762b40
1372a2b31a545
14361cb31bc64
151ad0d7acde9
hexe79020ade0

994555506144 has 96 divisors (see below), whose sum is σ = 2650154371200. Its totient is φ = 326511263232.

The previous prime is 994555506067. The next prime is 994555506151. The reversal of 994555506144 is 441605555499.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48544927 + ... + 48565409.

It is an arithmetic number, because the mean of its divisors is an integer number (27605774700).

Almost surely, 2994555506144 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 994555506144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325077185600).

994555506144 is an abundant number, since it is smaller than the sum of its proper divisors (1655598865056).

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

994555506144 is a wasteful number, since it uses less digits than its factorization.

994555506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28112 (or 28104 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 57.

The spelling of 994555506144 in words is "nine hundred ninety-four billion, five hundred fifty-five million, five hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 7549 15098 20483 22647 30196 40966 45294 60392 61449 81932 90588 120784 122898 163864 181176 241568 245796 327728 362352 491592 505783 655456 724704 983184 1011566 1372361 1517349 1966368 2023132 2744722 3034698 4046264 4117083 5489444 6069396 8092528 8234166 10978888 12138792 16185056 16468332 21957776 24277584 32936664 43915552 48555168 65873328 131746656 154626167 309252334 463878501 618504668 927757002 1237009336 1855514004 2474018672 3711028008 4948037344 7422056016 10359953189 14844112032 20719906378 31079859567 41439812756 62159719134 82879625512 124319438268 165759251024 248638876536 331518502048 497277753072 994555506144