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10991322960 = 243565816959
BaseRepresentation
bin10100011110010001…
…00100011101010000
31001101000010001120120
422033020210131100
5140002234313320
65014354110240
7536242463232
oct121710443520
931330101516
1010991322960
114730351692
122168b7b380
1310621a9cc7
14763a92252
15444e28440
hex28f224750

10991322960 has 80 divisors (see below), whose sum is σ = 34083175680. Its totient is φ = 2930152960.

The previous prime is 10991322949. The next prime is 10991323001. The reversal of 10991322960 is 6922319901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×109913229603 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1575961 + ... + 1582919.

It is an arithmetic number, because the mean of its divisors is an integer number (426039696).

Almost surely, 210991322960 is an apocalyptic number.

10991322960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10991322960 is an abundant number, since it is smaller than the sum of its proper divisors (23091852720).

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

10991322960 is a wasteful number, since it uses less digits than its factorization.

10991322960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556 (or 13550 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 10991322960 in words is "ten billion, nine hundred ninety-one million, three hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6581 6959 13162 13918 19743 20877 26324 27836 32905 34795 39486 41754 52648 55672 65810 69590 78972 83508 98715 104385 105296 111344 131620 139180 157944 167016 197430 208770 263240 278360 315888 334032 394860 417540 526480 556720 789720 835080 1579440 1670160 45797179 91594358 137391537 183188716 228985895 274783074 366377432 457971790 549566148 686957685 732754864 915943580 1099132296 1373915370 1831887160 2198264592 2747830740 3663774320 5495661480 10991322960