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1133730893824 = 21212721312
BaseRepresentation
bin10000011111110111101…
…000001001000000000000
311000101100122200201021121
4100133313220021000000
5122033340102100244
62224455003402024
7144623623410604
oct20376750110000
94011318621247
101133730893824
113a78a3595851
12163884223314
1382bab0bca49
143cc31215504
151e756de4c84
hex107f7a09000

1133730893824 has 117 divisors (see below), whose sum is σ = 2302754677491. Its totient is φ = 558108794880.

The previous prime is 1133730893807. The next prime is 1133730893839. The reversal of 1133730893824 is 4283980373311.

The square root of 1133730893824 is 1064768.

It is a perfect power (a square), and thus also a powerful number.

It is a super-4 number, since 4×11337308938244 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8654434239 + ... + 8654434369.

Almost surely, 21133730893824 is an apocalyptic number.

1133730893824 is the 1064768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133730893824

1133730893824 is an abundant number, since it is smaller than the sum of its proper divisors (1169023783667).

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

1133730893824 is an frugal number, since it uses more digits than its factorization.

1133730893824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 1133730893824 in words is "one trillion, one hundred thirty-three billion, seven hundred thirty million, eight hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 127 128 131 254 256 262 508 512 524 1016 1024 1048 2032 2048 2096 4064 4096 4192 8128 8384 16129 16256 16637 16768 17161 32258 32512 33274 33536 34322 64516 65024 66548 67072 68644 129032 130048 133096 134144 137288 258064 260096 266192 268288 274576 516128 520192 532384 536576 549152 1032256 1064768 1098304 2064512 2112899 2129536 2179447 2196608 4129024 4225798 4259072 4358894 4393216 8258048 8451596 8518144 8717788 8786432 16516096 16903192 17036288 17435576 17572864 33032192 33806384 34072576 34871152 35145728 66064384 67612768 68145152 69742304 70291456 135225536 139484608 270451072 276789769 278969216 540902144 553579538 557938432 1081804288 1107159076 1115876864 2163608576 2214318152 2231753728 4327217152 4428636304 4463507456 8654434304 8857272608 8927014912 17714545216 35429090432 70858180864 141716361728 283432723456 566865446912 1133730893824