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991137056 = 25713379199
BaseRepresentation
bin111011000100111…
…000110100100000
32120001222222102212
4323010320310200
54012212341211
6242203301252
733363345260
oct7304706440
92501888385
10991137056
1146951aa38
12237b1a828
1312a456040
14958c17a0
155c03038b
hex3b138d20

991137056 has 96 divisors (see below), whose sum is σ = 2466777600. Its totient is φ = 381459456.

The previous prime is 991137029. The next prime is 991137073. The reversal of 991137056 is 650731199.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103145 + ... + 112343.

It is an arithmetic number, because the mean of its divisors is an integer number (25695600).

Almost surely, 2991137056 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 991137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233388800).

991137056 is an abundant number, since it is smaller than the sum of its proper divisors (1475640544).

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

991137056 is a wasteful number, since it uses less digits than its factorization.

991137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 41.

The square root of 991137056 is about 31482.3292657961. The cubic root of 991137056 is about 997.0369141273.

The spelling of 991137056 in words is "nine hundred ninety-one million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 74 91 104 112 148 182 208 224 259 296 364 416 481 518 592 728 962 1036 1184 1456 1924 2072 2912 3367 3848 4144 6734 7696 8288 9199 13468 15392 18398 26936 36796 53872 64393 73592 107744 119587 128786 147184 239174 257572 294368 340363 478348 515144 680726 837109 956696 1030288 1361452 1674218 1913392 2060576 2382541 2722904 3348436 3826784 4424719 4765082 5445808 6696872 8849438 9530164 10891616 13393744 17698876 19060328 26787488 30973033 35397752 38120656 61946066 70795504 76241312 123892132 141591008 247784264 495568528 991137056