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1142534680695 = 335199351112113
BaseRepresentation
bin10000101000000100010…
…111111011000001110111
311001020002012120102111000
4100220010113323001313
5122204402334240240
62232512335214343
7145355034355662
oct20500427730167
94036065512430
101142534680695
11400601050171
121655206773b3
13839820105a5
143d4285526d9
151eabec64430
hex10a045fb077

1142534680695 has 64 divisors (see below), whose sum is σ = 2042129664000. Its totient is φ = 606067038720.

The previous prime is 1142534680691. The next prime is 1142534680699. The reversal of 1142534680695 is 5960864352411.

1142534680695 is a `hidden beast` number, since 1 + 1 + 42 + 53 + 468 + 0 + 6 + 95 = 666.

It is an interprime number because it is at equal distance from previous prime (1142534680691) and next prime (1142534680699).

It is not a de Polignac number, because 1142534680695 - 22 = 1142534680691 is a prime.

It is a super-3 number, since 3×11425346806953 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142534680691) 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 63 ways as a sum of consecutive naturals, for example, 94316959 + ... + 94329071.

It is an arithmetic number, because the mean of its divisors is an integer number (31908276000).

Almost surely, 21142534680695 is an apocalyptic number.

1142534680695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1142534680695 is a deficient number, since it is larger than the sum of its proper divisors (899594983305).

1142534680695 is a wasteful number, since it uses less digits than its factorization.

1142534680695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15837 (or 15831 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1142534680695 in words is "one trillion, one hundred forty-two billion, five hundred thirty-four million, six hundred eighty thousand, six hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 135 199 597 995 1791 2985 3511 5373 8955 10533 12113 17555 26865 31599 36339 52665 60565 94797 109017 157995 181695 327051 473985 545085 698689 1635255 2096067 2410487 3493445 6288201 7231461 10480335 12052435 18864603 21694383 31441005 36157305 42528743 65083149 94323015 108471915 127586229 212643715 325415745 382758687 637931145 1148276061 1913793435 5741380305 8463219857 25389659571 42316099285 76168978713 126948297855 228506936139 380844893565 1142534680695