Search a number
-
+
1128132668352 = 26371816710133
BaseRepresentation
bin10000011010101001111…
…100100110101111000000
310222211220111122101122110
4100122221330212233000
5121440403430341402
62222131302135320
7144335115314544
oct20325174465700
93884814571573
101128132668352
113a5490532128
12162781421540
13824c83371b1
143c85d90da24
151e52a6c156c
hex106a9f26bc0

1128132668352 has 112 divisors (see below), whose sum is σ = 3027560550912. Its totient is φ = 370665845760.

The previous prime is 1128132668347. The next prime is 1128132668353. The reversal of 1128132668352 is 2538662318211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128132668353) by changing a digit.

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, 111327478 + ... + 111337610.

Almost surely, 21128132668352 is an apocalyptic number.

1128132668352 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 1128132668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513780275456).

1128132668352 is an abundant number, since it is smaller than the sum of its proper divisors (1899427882560).

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

1128132668352 is a wasteful number, since it uses less digits than its factorization.

1128132668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18386 (or 18376 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 1128132668352 in words is "one trillion, one hundred twenty-eight billion, one hundred thirty-two million, six hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 8167 10133 13632 16334 20266 24501 30399 32668 40532 49002 60798 65336 81064 98004 121596 130672 162128 196008 243192 261344 324256 392016 486384 522688 579857 648512 719443 784032 972768 1159714 1438886 1568064 1739571 1945536 2158329 2319428 2877772 3479142 4316658 4638856 5755544 6958284 8633316 9277712 11511088 13916568 17266632 18555424 23022176 27833136 34533264 37110848 46044352 55666272 69066528 82756211 111332544 138133056 165512422 248268633 331024844 496537266 662049688 993074532 1324099376 1986149064 2648198752 3972298128 5296397504 5875690981 7944596256 11751381962 15889192512 17627072943 23502763924 35254145886 47005527848 70508291772 94011055696 141016583544 188022111392 282033167088 376044222784 564066334176 1128132668352