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1143466564992 = 27323328145481
BaseRepresentation
bin10000101000111011111…
…010110001110110000000
311001022111011002001102020
4100220323322301312000
5122213304420034432
62233145024521440
7145420111301553
oct20507372616600
94038434061366
101143466564992
11400a3a07a684
12165740780280
1383aa00bb80b
143d4b620c69a
151eb2698d22c
hex10a3beb1d80

1143466564992 has 128 divisors (see below), whose sum is σ = 3061291540320. Its totient is φ = 378160742400.

The previous prime is 1143466564967. The next prime is 1143466565027. The reversal of 1143466564992 is 2994656643411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25118892 + ... + 25164372.

Almost surely, 21143466564992 is an apocalyptic number.

1143466564992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143466564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530645770160).

1143466564992 is an abundant number, since it is smaller than the sum of its proper divisors (1917824975328).

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

1143466564992 is a wasteful number, since it uses less digits than its factorization.

1143466564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46012 (or 46000 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The spelling of 1143466564992 in words is "one trillion, one hundred forty-three billion, four hundred sixty-six million, five hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 281 384 466 562 699 843 932 1124 1398 1686 1864 2248 2796 3372 3728 4496 5592 6744 7456 8992 11184 13488 14912 17984 22368 26976 29824 35968 44736 45481 53952 65473 89472 90962 107904 130946 136443 181924 196419 261892 272886 363848 392838 523784 545772 727696 785676 1047568 1091544 1455392 1571352 2095136 2183088 2910784 3142704 4190272 4366176 5821568 6285408 8380544 8732352 10597073 12570816 12780161 17464704 21194146 25141632 25560322 31791219 38340483 42388292 51120644 63582438 76680966 84776584 102241288 127164876 153361932 169553168 204482576 254329752 306723864 339106336 408965152 508659504 613447728 678212672 817930304 1017319008 1226895456 1356425344 1635860608 2034638016 2453790912 2977777513 4069276032 4907581824 5955555026 8933332539 11911110052 17866665078 23822220104 35733330156 47644440208 71466660312 95288880416 142933320624 190577760832 285866641248 381155521664 571733282496 1143466564992